diff --git a/pkg/kversion/kversion.go b/pkg/kversion/kversion.go
index 8aa6ffb4..d0c8be0a 100644
--- a/pkg/kversion/kversion.go
+++ b/pkg/kversion/kversion.go
@@ -66,6 +66,7 @@ var versions = []struct {
 	{"v3.4", V3_4_0()},
 	{"v3.5", V3_5_0()},
 	{"v3.6", V3_6_0()},
+	{"v3.7", V3_7_0()},
 }
 
 // VersionStrings returns all recognized versions, minus any patch, that can be
@@ -82,12 +83,14 @@ func VersionStrings() []string {
 // The expected input is:
 //   - for v0, v0.#.# or v0.#.#.#
 //   - for v1, v1.# or v1.#.#
+//
+// The "v" is optional.
 func FromString(v string) *Versions {
 	reFromStringOnce.Do(func() {
 		// 0: entire string
 		// 1: v1+ match, minus patch
 		// 2: v0 match, minus subpatch
-		reFromString = regexp.MustCompile(`^(?:(v[1-9]+\.\d+)(?:\.\d+)?|(v0\.\d+\.\d+)(?:\.\d+)?)$`)
+		reFromString = regexp.MustCompile(`^(?:(v?[1-9]+\.\d+)(?:\.\d+)?|(v?0\.\d+\.\d+)(?:\.\d+)?)$`)
 	})
 	m := reFromString.FindStringSubmatch(v)
 	if m == nil {
@@ -97,8 +100,9 @@ func FromString(v string) *Versions {
 	if m[2] != "" {
 		v = m[2]
 	}
+	withv := "v" + v
 	for _, v2 := range versions {
-		if v2.name == v {
+		if v2.name == v || v2.name == withv {
 			return v2.v
 		}
 	}
@@ -381,6 +385,7 @@ func (vs *Versions) versionGuess(opts ...VersionGuessOpt) guess {
 		{max340, "v3.4"},
 		{max350, "v3.5"},
 		{max360, "v3.6"},
+		{max370, "v3.7"},
 	} {
 		for k, v := range comparison.cmp.filter(cfg.listener) {
 			if v == -1 {
@@ -522,6 +527,7 @@ func V3_3_0() *Versions  { return zkBrokerOf(max330) }
 func V3_4_0() *Versions  { return zkBrokerOf(max340) }
 func V3_5_0() *Versions  { return zkBrokerOf(max350) }
 func V3_6_0() *Versions  { return zkBrokerOf(max360) }
+func V3_7_0() *Versions  { return zkBrokerOf(max370) }
 
 func zkBrokerOf(lks listenerKeys) *Versions {
 	return &Versions{lks.filter(zkBroker)}
@@ -992,7 +998,7 @@ var max280 = nextMax(max270, func(v listenerKeys) listenerKeys {
 
 	// KAFKA-12204 / KAFKA-10851 302eee63c479fd4b955c44f1058a5e5d111acb57 KIP-700
 	v = append(v,
-		k(zkBroker, rBroker), // 60 describe cluster
+		k(zkBroker, rBroker, rController), // 60 describe cluster; rController in KAFKA-15396 41b695b6e30baa4243d9ca4f359b833e17ed0e77 KIP-919
 	)
 
 	// KAFKA-12212 7a1d1d9a69a241efd68e572badee999229b3942f KIP-700
@@ -1136,8 +1142,32 @@ var max360 = nextMax(max350, func(v listenerKeys) listenerKeys {
 	return v
 })
 
+var max370 = nextMax(max360, func(v listenerKeys) listenerKeys {
+	// KAFKA-15661 c8f687ac1505456cb568de2b60df235eb1ceb5f0 KIP-951
+	v[0].inc() // 10 produce
+	v[1].inc() // 16 fetch
+
+	// 7826d5fc8ab695a5ad927338469ddc01b435a298 KIP-848
+	// (change introduced in 3.6 but was marked unstable and not visible)
+	v[8].inc() // 9 offset commit
+	// KAFKA-14499 7054625c45dc6edb3c07271fe4a6c24b4638424f KIP-848 (and prior)
+	v[9].inc() // 9 offset fetch
+
+	// KAFKA-15368 41b695b6e30baa4243d9ca4f359b833e17ed0e77 KIP-919
+	// (added rController as well, see above)
+	v[60].inc() // 1 describe cluster
+
+	// KAFKA-14391 3be7f7d611d0786f2f98159d5c7492b0d94a2bb7 KIP-848
+	// as well as some patches following
+	v = append(v,
+		k(zkBroker, rBroker), // 68 consumer group heartbeat
+	)
+
+	return v
+})
+
 var (
-	maxStable = max360
+	maxStable = max370
 	maxTip    = nextMax(maxStable, func(v listenerKeys) listenerKeys {
 		return v
 	})
diff --git a/pkg/kversion/kversion_test.go b/pkg/kversion/kversion_test.go
index 57b8eb86..ede3f716 100644
--- a/pkg/kversion/kversion_test.go
+++ b/pkg/kversion/kversion_test.go
@@ -201,6 +201,7 @@ func TestFromString(t *testing.T) {
 		{"v2.1", "v2.1"},
 		{"v2.1.3", "v2.1"},
 		{"v3.1", "v3.1"},
+		{"3.1", "v3.1"},
 
 		{"v0.7.0", ""},     // too low
 		{"v999.9", ""},     // too high