diff --git a/crates/ruff_linter/resources/test/fixtures/pyupgrade/UP036_0.py b/crates/ruff_linter/resources/test/fixtures/pyupgrade/UP036_0.py
index 2cbdaf83359b4..a99e91f4533f6 100644
--- a/crates/ruff_linter/resources/test/fixtures/pyupgrade/UP036_0.py
+++ b/crates/ruff_linter/resources/test/fixtures/pyupgrade/UP036_0.py
@@ -196,3 +196,9 @@ def g():
 
 if sys.version_info <= (3,10000000):
     print("py3")
+
+if sys.version_info > (3,12):
+    print("py3")
+
+if sys.version_info >= (3,12):
+    print("py3")
diff --git a/crates/ruff_linter/src/rules/pyupgrade/rules/outdated_version_block.rs b/crates/ruff_linter/src/rules/pyupgrade/rules/outdated_version_block.rs
index bfaee87a73a32..784984e053eab 100644
--- a/crates/ruff_linter/src/rules/pyupgrade/rules/outdated_version_block.rs
+++ b/crates/ruff_linter/src/rules/pyupgrade/rules/outdated_version_block.rs
@@ -104,12 +104,18 @@ pub(crate) fn outdated_version_block(checker: &mut Checker, stmt_if: &StmtIf) {
 
         match comparison {
             Expr::Tuple(ast::ExprTuple { elts, .. }) => match op {
-                CmpOp::Lt | CmpOp::LtE => {
+                CmpOp::Lt | CmpOp::LtE | CmpOp::Gt | CmpOp::GtE => {
                     let Some(version) = extract_version(elts) else {
                         return;
                     };
                     let target = checker.settings.target_version;
-                    match compare_version(&version, target, op == &CmpOp::LtE) {
+                    match version_always_less_than(
+                        &version,
+                        target,
+                        // `x <= y` and `x > y` are cases where `x == y` will not stop the comparison
+                        // from always evaluating to true or false respectively
+                        op.is_lt_e() || op.is_gt(),
+                    ) {
                         Ok(false) => {}
                         Ok(true) => {
                             let mut diagnostic = Diagnostic::new(
@@ -118,36 +124,11 @@ pub(crate) fn outdated_version_block(checker: &mut Checker, stmt_if: &StmtIf) {
                                 },
                                 branch.test.range(),
                             );
-                            if let Some(fix) = fix_always_false_branch(checker, stmt_if, &branch) {
-                                diagnostic.set_fix(fix);
-                            }
-                            checker.diagnostics.push(diagnostic);
-                        }
-                        Err(_) => {
-                            checker.diagnostics.push(Diagnostic::new(
-                                OutdatedVersionBlock {
-                                    reason: Reason::Invalid,
-                                },
-                                comparison.range(),
-                            ));
-                        }
-                    }
-                }
-                CmpOp::Gt | CmpOp::GtE => {
-                    let Some(version) = extract_version(elts) else {
-                        return;
-                    };
-                    let target = checker.settings.target_version;
-                    match compare_version(&version, target, op == &CmpOp::GtE) {
-                        Ok(false) => {}
-                        Ok(true) => {
-                            let mut diagnostic = Diagnostic::new(
-                                OutdatedVersionBlock {
-                                    reason: Reason::Outdated,
-                                },
-                                branch.test.range(),
-                            );
-                            if let Some(fix) = fix_always_true_branch(checker, stmt_if, &branch) {
+                            if let Some(fix) = if op.is_lt() || op.is_lt_e() {
+                                fix_always_false_branch(checker, stmt_if, &branch)
+                            } else {
+                                fix_always_true_branch(checker, stmt_if, &branch)
+                            } {
                                 diagnostic.set_fix(fix);
                             }
                             checker.diagnostics.push(diagnostic);
@@ -211,15 +192,15 @@ pub(crate) fn outdated_version_block(checker: &mut Checker, stmt_if: &StmtIf) {
     }
 }
 
-/// Returns true if the `target_version` is always less than the [`PythonVersion`].
-fn compare_version(
-    target_version: &[Int],
+/// Returns true if the `check_version` is always less than the [`PythonVersion`].
+fn version_always_less_than(
+    check_version: &[Int],
     py_version: PythonVersion,
     or_equal: bool,
 ) -> Result<bool> {
-    let mut target_version_iter = target_version.iter();
+    let mut check_version_iter = check_version.iter();
 
-    let Some(if_major) = target_version_iter.next() else {
+    let Some(if_major) = check_version_iter.next() else {
         return Ok(false);
     };
     let Some(if_major) = if_major.as_u8() else {
@@ -232,7 +213,7 @@ fn compare_version(
         Ordering::Less => Ok(true),
         Ordering::Greater => Ok(false),
         Ordering::Equal => {
-            let Some(if_minor) = target_version_iter.next() else {
+            let Some(if_minor) = check_version_iter.next() else {
                 return Ok(true);
             };
             let Some(if_minor) = if_minor.as_u8() else {
@@ -462,7 +443,7 @@ mod tests {
         expected: bool,
     ) -> Result<()> {
         let target_versions: Vec<_> = target_versions.iter().map(|int| Int::from(*int)).collect();
-        let actual = compare_version(&target_versions, version, or_equal)?;
+        let actual = version_always_less_than(&target_versions, version, or_equal)?;
         assert_eq!(actual, expected);
         Ok(())
     }
diff --git a/crates/ruff_linter/src/rules/pyupgrade/snapshots/ruff_linter__rules__pyupgrade__tests__UP036_0.py.snap b/crates/ruff_linter/src/rules/pyupgrade/snapshots/ruff_linter__rules__pyupgrade__tests__UP036_0.py.snap
index 6d66d23ef17be..0f42d7f67136b 100644
--- a/crates/ruff_linter/src/rules/pyupgrade/snapshots/ruff_linter__rules__pyupgrade__tests__UP036_0.py.snap
+++ b/crates/ruff_linter/src/rules/pyupgrade/snapshots/ruff_linter__rules__pyupgrade__tests__UP036_0.py.snap
@@ -712,4 +712,22 @@ UP036_0.py:197:24: UP036 Version specifier is invalid
 198 |     print("py3")
     |
 
+UP036_0.py:203:4: UP036 [*] Version block is outdated for minimum Python version
+    |
+201 |     print("py3")
+202 | 
+203 | if sys.version_info >= (3,12):
+    |    ^^^^^^^^^^^^^^^^^^^^^^^^^^ UP036
+204 |     print("py3")
+    |
+    = help: Remove outdated version block
+
+ℹ Suggested fix
+200 200 | if sys.version_info > (3,12):
+201 201 |     print("py3")
+202 202 | 
+203     |-if sys.version_info >= (3,12):
+204     |-    print("py3")
+    203 |+print("py3")
+