diff --git a/rules/group.go b/rules/group.go
index 0bc219a11..201d3a67d 100644
--- a/rules/group.go
+++ b/rules/group.go
@@ -621,14 +621,12 @@ func (g *Group) Eval(ctx context.Context, ts time.Time) {
 			}
 		}
 
-		// If the rule has no dependencies, it can run concurrently because no other rules in this group depend on its output.
-		// Try run concurrently if there are slots available.
-		if ctrl := g.concurrencyController; isRuleEligibleForConcurrentExecution(rule) && ctrl.Allow() {
+		if ctrl := g.concurrencyController; ctrl.Allow(ctx, g, rule) {
 			wg.Add(1)
 
 			go eval(i, rule, func() {
 				wg.Done()
-				ctrl.Done()
+				ctrl.Done(ctx)
 			})
 		} else {
 			eval(i, rule, nil)
@@ -1094,7 +1092,3 @@ func buildDependencyMap(rules []Rule) dependencyMap {
 
 	return dependencies
 }
-
-func isRuleEligibleForConcurrentExecution(rule Rule) bool {
-	return rule.NoDependentRules() && rule.NoDependencyRules()
-}
diff --git a/rules/manager.go b/rules/manager.go
index ab33c3c7d..9e5b33fbc 100644
--- a/rules/manager.go
+++ b/rules/manager.go
@@ -457,67 +457,47 @@ func (c ruleDependencyController) AnalyseRules(rules []Rule) {
 // Its purpose is to bound the amount of concurrency in rule evaluations to avoid overwhelming the Prometheus
 // server with additional query load. Concurrency is controlled globally, not on a per-group basis.
 type RuleConcurrencyController interface {
-	// Allow determines whether any concurrent evaluation slots are available.
-	// If Allow() returns true, then Done() must be called to release the acquired slot.
-	Allow() bool
+	// Allow determines if the given rule is allowed to be evaluated concurrently.
+	// If Allow() returns true, then Done() must be called to release the acquired slot and corresponding cleanup is done.
+	// It is important that both *Group and Rule are not retained and only be used for the duration of the call.
+	Allow(ctx context.Context, group *Group, rule Rule) bool
 
 	// Done releases a concurrent evaluation slot.
-	Done()
+	Done(ctx context.Context)
 }
 
 // concurrentRuleEvalController holds a weighted semaphore which controls the concurrent evaluation of rules.
 type concurrentRuleEvalController struct {
-	sema      *semaphore.Weighted
-	depMapsMu sync.Mutex
-	depMaps   map[*Group]dependencyMap
+	sema *semaphore.Weighted
 }
 
 func newRuleConcurrencyController(maxConcurrency int64) RuleConcurrencyController {
 	return &concurrentRuleEvalController{
-		sema:    semaphore.NewWeighted(maxConcurrency),
-		depMaps: map[*Group]dependencyMap{},
+		sema: semaphore.NewWeighted(maxConcurrency),
 	}
 }
 
-func (c *concurrentRuleEvalController) RuleEligible(g *Group, r Rule) bool {
-	c.depMapsMu.Lock()
-	defer c.depMapsMu.Unlock()
-
-	depMap, found := c.depMaps[g]
-	if !found {
-		depMap = buildDependencyMap(g.rules)
-		c.depMaps[g] = depMap
+func (c *concurrentRuleEvalController) Allow(_ context.Context, _ *Group, rule Rule) bool {
+	// To allow a rule to be executed concurrently, we need 3 conditions:
+	// 1. The rule must not have any rules that depend on it.
+	// 2. The rule itself must not depend on any other rules.
+	// 3. If 1 & 2 are true, then and only then we should try to acquire the concurrency slot.
+	if rule.NoDependentRules() && rule.NoDependencyRules() {
+		return c.sema.TryAcquire(1)
 	}
 
-	return depMap.isIndependent(r)
+	return false
 }
 
-func (c *concurrentRuleEvalController) Allow() bool {
-	return c.sema.TryAcquire(1)
-}
-
-func (c *concurrentRuleEvalController) Done() {
+func (c *concurrentRuleEvalController) Done(_ context.Context) {
 	c.sema.Release(1)
 }
 
-func (c *concurrentRuleEvalController) Invalidate() {
-	c.depMapsMu.Lock()
-	defer c.depMapsMu.Unlock()
-
-	// Clear out the memoized dependency maps because some or all groups may have been updated.
-	c.depMaps = map[*Group]dependencyMap{}
-}
-
 // sequentialRuleEvalController is a RuleConcurrencyController that runs every rule sequentially.
 type sequentialRuleEvalController struct{}
 
-func (c sequentialRuleEvalController) RuleEligible(_ *Group, _ Rule) bool {
+func (c sequentialRuleEvalController) Allow(_ context.Context, _ *Group, _ Rule) bool {
 	return false
 }
 
-func (c sequentialRuleEvalController) Allow() bool {
-	return false
-}
-
-func (c sequentialRuleEvalController) Done()       {}
-func (c sequentialRuleEvalController) Invalidate() {}
+func (c sequentialRuleEvalController) Done(_ context.Context) {}