diff --git a/packages/block-editor/src/components/border-radius-control/index.js b/packages/block-editor/src/components/border-radius-control/index.js
index 0821ab38acc3c..8754d39ac570f 100644
--- a/packages/block-editor/src/components/border-radius-control/index.js
+++ b/packages/block-editor/src/components/border-radius-control/index.js
@@ -94,7 +94,7 @@ export default function BorderRadiusControl( { onChange, values } ) {
 				{ isLinked ? (
 					<>
 						<AllInputControl
-							__unstableWrapperClassName="components-border-radius-control__unit-control"
+							className="components-border-radius-control__unit-control"
 							values={ values }
 							min={ MIN_BORDER_RADIUS_VALUE }
 							onChange={ onChange }
diff --git a/packages/components/src/border-control/styles.ts b/packages/components/src/border-control/styles.ts
index 6ee8fc7487df3..b105e8b62bd7b 100644
--- a/packages/components/src/border-control/styles.ts
+++ b/packages/components/src/border-control/styles.ts
@@ -13,7 +13,7 @@ import {
 	StyledLabel,
 } from '../base-control/styles/base-control-styles';
 import {
-	Root as UnitControlWrapper,
+	ValueInput as UnitControlWrapper,
 	UnitSelect,
 } from '../unit-control/styles/unit-control-styles';
 
diff --git a/packages/components/src/dimension-control/test/__snapshots__/index.test.js.snap b/packages/components/src/dimension-control/test/__snapshots__/index.test.js.snap
index 83e6fe500faa1..5f932fd5e0fff 100644
--- a/packages/components/src/dimension-control/test/__snapshots__/index.test.js.snap
+++ b/packages/components/src/dimension-control/test/__snapshots__/index.test.js.snap
@@ -38,6 +38,7 @@ exports[`DimensionControl rendering renders with custom sizes 1`] = `
   -webkit-justify-content: space-between;
   justify-content: space-between;
   height: 100%;
+  box-sizing: border-box;
   position: relative;
   border-radius: 2px;
   padding-top: 0;
@@ -309,6 +310,7 @@ exports[`DimensionControl rendering renders with defaults 1`] = `
   -webkit-justify-content: space-between;
   justify-content: space-between;
   height: 100%;
+  box-sizing: border-box;
   position: relative;
   border-radius: 2px;
   padding-top: 0;
@@ -590,6 +592,7 @@ exports[`DimensionControl rendering renders with icon and custom icon label 1`]
   -webkit-justify-content: space-between;
   justify-content: space-between;
   height: 100%;
+  box-sizing: border-box;
   position: relative;
   border-radius: 2px;
   padding-top: 0;
@@ -883,6 +886,7 @@ exports[`DimensionControl rendering renders with icon and default icon label 1`]
   -webkit-justify-content: space-between;
   justify-content: space-between;
   height: 100%;
+  box-sizing: border-box;
   position: relative;
   border-radius: 2px;
   padding-top: 0;
diff --git a/packages/components/src/input-control/styles/input-control-styles.tsx b/packages/components/src/input-control/styles/input-control-styles.tsx
index b35efb42378ea..1be98530d1fa4 100644
--- a/packages/components/src/input-control/styles/input-control-styles.tsx
+++ b/packages/components/src/input-control/styles/input-control-styles.tsx
@@ -34,6 +34,7 @@ const rootFocusedStyles = ( { isFocused }: RootProps ) => {
 };
 
 export const Root = styled( Flex )< RootProps >`
+	box-sizing: border-box;
 	position: relative;
 	border-radius: 2px;
 	padding-top: 0;
diff --git a/packages/components/src/unit-control/index.tsx b/packages/components/src/unit-control/index.tsx
index 44b453f5f6943..c4baaf64568da 100644
--- a/packages/components/src/unit-control/index.tsx
+++ b/packages/components/src/unit-control/index.tsx
@@ -23,7 +23,7 @@ import { __ } from '@wordpress/i18n';
  */
 import type { WordPressComponentProps } from '../ui/context';
 import * as inputControlActionTypes from '../input-control/reducer/actions';
-import { Root, ValueInput } from './styles/unit-control-styles';
+import { ValueInput } from './styles/unit-control-styles';
 import UnitSelectControl from './unit-select-control';
 import {
 	CSS_UNITS,
@@ -58,12 +58,10 @@ function UnforwardedUnitControl(
 		onChange: onChangeProp,
 		onUnitChange,
 		size = 'default',
-		style,
 		unit: unitProp,
 		units: unitsProp = CSS_UNITS,
 		value: valueProp,
 		onBlur: onBlurProp,
-		__unstableWrapperClassName,
 		...props
 	} = unitControlProps;
 
@@ -106,10 +104,12 @@ function UnforwardedUnitControl(
 	// Stores parsed value for hand-off in state reducer.
 	const refParsedQuantity = useRef< number | undefined >( undefined );
 
-	const classes = classnames( 'components-unit-control', className );
-	const wrapperClasses = classnames(
+	const classes = classnames(
+		'components-unit-control',
+		// This class is added for legacy purposes to maintain it on the outer
+		// wrapper. See: https://github.com/WordPress/gutenberg/pull/45139
 		'components-unit-control-wrapper',
-		__unstableWrapperClassName
+		className
 	);
 
 	const handleOnQuantityChange = (
@@ -182,7 +182,7 @@ function UnforwardedUnitControl(
 				: undefined;
 			const changeProps = { event, data };
 
-			// The `onChange` callback already gets called, no need to call it explicitely.
+			// The `onChange` callback already gets called, no need to call it explicitly.
 			onUnitChange?.( validParsedUnit, changeProps );
 
 			setUnit( validParsedUnit );
@@ -263,27 +263,25 @@ function UnforwardedUnitControl(
 	}
 
 	return (
-		<Root className={ wrapperClasses } style={ style }>
-			<ValueInput
-				type={ isPressEnterToChange ? 'text' : 'number' }
-				{ ...props }
-				autoComplete={ autoComplete }
-				className={ classes }
-				disabled={ disabled }
-				hideHTMLArrows
-				isPressEnterToChange={ isPressEnterToChange }
-				label={ label }
-				onBlur={ handleOnBlur }
-				onKeyDown={ handleOnKeyDown }
-				onChange={ handleOnQuantityChange }
-				ref={ forwardedRef }
-				size={ size }
-				suffix={ inputSuffix }
-				value={ parsedQuantity ?? '' }
-				step={ step }
-				__unstableStateReducer={ stateReducer }
-			/>
-		</Root>
+		<ValueInput
+			type={ isPressEnterToChange ? 'text' : 'number' }
+			{ ...props }
+			autoComplete={ autoComplete }
+			className={ classes }
+			disabled={ disabled }
+			hideHTMLArrows
+			isPressEnterToChange={ isPressEnterToChange }
+			label={ label }
+			onBlur={ handleOnBlur }
+			onKeyDown={ handleOnKeyDown }
+			onChange={ handleOnQuantityChange }
+			ref={ forwardedRef }
+			size={ size }
+			suffix={ inputSuffix }
+			value={ parsedQuantity ?? '' }
+			step={ step }
+			__unstableStateReducer={ stateReducer }
+		/>
 	);
 }
 
diff --git a/packages/components/src/unit-control/styles/unit-control-styles.ts b/packages/components/src/unit-control/styles/unit-control-styles.ts
index ba5952a5ba65d..2d9dc5f13fb11 100644
--- a/packages/components/src/unit-control/styles/unit-control-styles.ts
+++ b/packages/components/src/unit-control/styles/unit-control-styles.ts
@@ -18,16 +18,6 @@ type SelectProps = {
 	selectSize: SelectSize;
 };
 
-export const Root = styled.div`
-	box-sizing: border-box;
-	position: relative;
-
-	/* Target the InputControl's backdrop and make focus styles smoother. */
-	&&& ${ BackdropUI } {
-		transition: box-shadow 0.1s linear;
-	}
-`;
-
 // TODO: Resolve need to use &&& to increase specificity
 // https://github.com/WordPress/gutenberg/issues/18483
 
@@ -37,6 +27,10 @@ export const ValueInput = styled( NumberControl )`
 			display: block;
 			width: 100%;
 		}
+
+		${ BackdropUI } {
+			transition: box-shadow 0.1s linear;
+		}
 	}
 `;
 
diff --git a/packages/components/src/unit-control/types.ts b/packages/components/src/unit-control/types.ts
index 78200369fb859..edbd5ac8f4cd6 100644
--- a/packages/components/src/unit-control/types.ts
+++ b/packages/components/src/unit-control/types.ts
@@ -100,8 +100,4 @@ export type UnitControlProps = Omit< UnitSelectControlProps, 'unit' > &
 		 * Callback when either the quantity or the unit inputs lose focus.
 		 */
 		onBlur?: FocusEventHandler< HTMLInputElement | HTMLSelectElement >;
-		/**
-		 * Custom CSS class to apply to the unit control's outer wrapper.
-		 */
-		__unstableWrapperClassName?: string;
 	};