diff --git a/changelog/fix_fix_lintambiguousoperatorprecedence_with.md b/changelog/fix_fix_lintambiguousoperatorprecedence_with.md
new file mode 100644
index 00000000000..336ed90e8a7
--- /dev/null
+++ b/changelog/fix_fix_lintambiguousoperatorprecedence_with.md
@@ -0,0 +1 @@
+* [#10096](https://github.com/rubocop/rubocop/issues/10096): Fix `Lint/AmbiguousOperatorPrecedence` with `and`/`or` operators. ([@dvandersluis][])
diff --git a/lib/rubocop/cop/lint/ambiguous_operator_precedence.rb b/lib/rubocop/cop/lint/ambiguous_operator_precedence.rb
index 10969a5a346..9d694ae8cc5 100644
--- a/lib/rubocop/cop/lint/ambiguous_operator_precedence.rb
+++ b/lib/rubocop/cop/lint/ambiguous_operator_precedence.rb
@@ -87,7 +87,11 @@ def operator?(node)
         end
 
         def greater_precedence?(node1, node2)
-          precedence(node2) > precedence(node1)
+          node1_precedence = precedence(node1)
+          node2_precedence = precedence(node2)
+          return false unless node1_precedence && node2_precedence
+
+          node2_precedence > node1_precedence
         end
 
         def operator_name(node)
diff --git a/spec/rubocop/cop/lint/ambiguous_operator_precedence_spec.rb b/spec/rubocop/cop/lint/ambiguous_operator_precedence_spec.rb
index 1d653212e7f..f0188d4f86f 100644
--- a/spec/rubocop/cop/lint/ambiguous_operator_precedence_spec.rb
+++ b/spec/rubocop/cop/lint/ambiguous_operator_precedence_spec.rb
@@ -120,4 +120,16 @@
       a || (b && (c | d ^ (e & (f << g >> (h + i - (j * k / l % (n ** m)))))))
     RUBY
   end
+
+  it 'allows an operator with `and`' do
+    expect_no_offenses(<<~RUBY)
+      array << i and next
+    RUBY
+  end
+
+  it 'allows an operator with `or`' do
+    expect_no_offenses(<<~RUBY)
+      array << i or return
+    RUBY
+  end
 end