diff --git a/src/cmd/compile/internal/gc/escape.go b/src/cmd/compile/internal/gc/escape.go
index 47ce853858e978..f92f4a7a6c22bb 100644
--- a/src/cmd/compile/internal/gc/escape.go
+++ b/src/cmd/compile/internal/gc/escape.go
@@ -614,9 +614,14 @@ func (e *Escape) unsafeValue(k EscHole, n *Node) {
 		}
 	case OPLUS, ONEG, OBITNOT:
 		e.unsafeValue(k, n.Left)
-	case OADD, OSUB, OOR, OXOR, OMUL, ODIV, OMOD, OLSH, ORSH, OAND, OANDNOT:
+	case OADD, OSUB, OOR, OXOR, OMUL, ODIV, OMOD, OAND, OANDNOT:
 		e.unsafeValue(k, n.Left)
 		e.unsafeValue(k, n.Right)
+	case OLSH, ORSH:
+		e.unsafeValue(k, n.Left)
+		// RHS need not be uintptr-typed (#32959) and can't meaningfully
+		// flow pointers anyway.
+		e.discard(n.Right)
 	default:
 		e.exprSkipInit(e.discardHole(), n)
 	}
diff --git a/test/fixedbugs/issue32959.go b/test/fixedbugs/issue32959.go
new file mode 100644
index 00000000000000..a0dc789a0438a5
--- /dev/null
+++ b/test/fixedbugs/issue32959.go
@@ -0,0 +1,17 @@
+// compile
+
+// Copyright 2019 The Go Authors. All rights reserved.
+// Use of this source code is governed by a BSD-style
+// license that can be found in the LICENSE file.
+
+// Test escape analysis with shifting constant
+
+package main
+
+import "unsafe"
+
+func main() {
+	var l uint64
+	var p unsafe.Pointer
+	_ = unsafe.Pointer(uintptr(p) + (uintptr(l) >> 1))
+}