diff --git a/.lintr_new b/.lintr_new
index b3aabf487..4e9195d35 100644
--- a/.lintr_new
+++ b/.lintr_new
@@ -23,6 +23,7 @@ linters: linters_with_defaults(
     redundant_ifelse_linter(),
     sprintf_linter(),
     strings_as_factors_linter(),
+    undesirable_operator_linter(),
     unnecessary_lambda_linter(),
     unneeded_concatenation_linter(allow_single_expression = FALSE),
     yoda_test_linter()
diff --git a/R/expect_lint.R b/R/expect_lint.R
index 5031c4aaa..9d041d9e3 100644
--- a/R/expect_lint.R
+++ b/R/expect_lint.R
@@ -84,7 +84,7 @@ expect_lint <- function(content, checks, ..., file = NULL, language = "en") {
     lint_fields <- unique(c(names(formals(Lint)), "linter"))
     Map(
       function(lint, check) {
-        itr <<- itr + 1L
+        itr <<- itr + 1L # nolint: undesirable_operator.
         lapply(names(check), function(field) {
           if (!field %in% lint_fields) {
             stop(sprintf(
diff --git a/R/get_source_expressions.R b/R/get_source_expressions.R
index 0495599d2..cd2ab6aa8 100644
--- a/R/get_source_expressions.R
+++ b/R/get_source_expressions.R
@@ -588,7 +588,7 @@ tab_offsets <- function(tab_columns) {
     tab_columns - 1L,
     function(tab_idx) {
       offset <- 7L - (tab_idx + cum_offset) %% 8L # using a tab width of 8 characters
-      cum_offset <<- cum_offset + offset
+      cum_offset <<- cum_offset + offset # nolint: undesirable_operator.
       offset
     },
     integer(1L),
diff --git a/R/lint.R b/R/lint.R
index 310fb69ba..6c0f0d349 100644
--- a/R/lint.R
+++ b/R/lint.R
@@ -641,8 +641,7 @@ sarif_output <- function(lints, filename = "lintr_results.sarif") {
 
     one_result <- append(one_result, c(ruleId = lint$linter))
     one_result <- append(one_result, c(ruleIndex = rule_index))
-    one_result <-
-      append(one_result, list(message = list(text = lint$message)))
+    one_result <- append(one_result, list(message = list(text = lint$message)))
     one_location <- list(physicalLocation = list(
       artifactLocation = list(
         uri = gsub("\\", "/", lint$filename, fixed = TRUE),
@@ -654,11 +653,8 @@ sarif_output <- function(lints, filename = "lintr_results.sarif") {
         snippet = list(text = lint$line)
       )
     ))
-    one_result <-
-      append(one_result, c(locations = list(list(one_location))))
-
-    sarif$runs[[1L]]$results <-
-      append(sarif$runs[[1L]]$results, list(one_result))
+    one_result <- append(one_result, c(locations = list(list(one_location))))
+    sarif$runs[[1L]]$results <- append(sarif$runs[[1L]]$results, list(one_result))
   }
 
   write(jsonlite::toJSON(sarif, pretty = TRUE, auto_unbox = TRUE), filename)
@@ -670,8 +666,7 @@ highlight_string <- function(message, column_number = NULL, ranges = NULL) {
   line <- fill_with(" ", maximum)
 
   lapply(ranges, function(range) {
-    substr(line, range[1L], range[2L]) <<-
-      fill_with("~", range[2L] - range[1L] + 1L)
+    substr(line, range[1L], range[2L]) <<- fill_with("~", range[2L] - range[1L] + 1L) # nolint: undesirable_operator.
   })
 
   substr(line, column_number, column_number + 1L) <- "^"
diff --git a/R/object_usage_linter.R b/R/object_usage_linter.R
index b1c94b3e6..d425bb616 100644
--- a/R/object_usage_linter.R
+++ b/R/object_usage_linter.R
@@ -248,7 +248,7 @@ parse_check_usage <- function(expression,
   vals <- list()
 
   report <- function(x) {
-    vals[[length(vals) + 1L]] <<- x
+    vals[[length(vals) + 1L]] <<- x # nolint: undesirable_operator.
   }
 
   withr::with_options(
diff --git a/R/utils.R b/R/utils.R
index e3c814458..779659e1b 100644
--- a/R/utils.R
+++ b/R/utils.R
@@ -28,8 +28,8 @@ flatten_list <- function(x, class) {
   itr <- 1L
   assign_item <- function(x) {
     if (inherits(x, class)) {
-      res[[itr]] <<- x
-      itr <<- itr + 1L
+      res[[itr]] <<- x # nolint: undesirable_operator.
+      itr <<- itr + 1L # nolint: undesirable_operator.
     } else if (is.list(x)) {
       lapply(x, assign_item)
     }
@@ -174,7 +174,7 @@ read_lines <- function(file, encoding = settings$encoding, ...) {
     readLines(file, warn = TRUE, ...),
     warning = function(w) {
       if (grepl("incomplete final line found on", w$message, fixed = TRUE)) {
-        terminal_newline <<- FALSE
+        terminal_newline <<- FALSE # nolint: undesirable_operator.
         invokeRestart("muffleWarning")
       }
     }
diff --git a/R/zzz.R b/R/zzz.R
index 1e6be7915..760df5f7e 100644
--- a/R/zzz.R
+++ b/R/zzz.R
@@ -295,7 +295,7 @@ settings <- NULL
     }
   }
 
-  default_settings <<- list(
+  default_settings <<- list( # nolint: undesirable_operator.
     linters = default_linters,
     encoding = "UTF-8",
     exclude = rex::rex("#", any_spaces, "nolint"),
@@ -325,7 +325,7 @@ settings <- NULL
     error_on_lint = logical_env("LINTR_ERROR_ON_LINT") %||% FALSE
   )
 
-  settings <<- list2env(default_settings, parent = emptyenv())
+  settings <<- list2env(default_settings, parent = emptyenv()) # nolint: undesirable_operator.
   invisible()
 }
 # nocov end