diff --git a/packages/tendermint-rpc/src/legacy/adaptors/index.ts b/packages/tendermint-rpc/src/legacy/adaptors/index.ts
index 51223aba..7097e36a 100644
--- a/packages/tendermint-rpc/src/legacy/adaptors/index.ts
+++ b/packages/tendermint-rpc/src/legacy/adaptors/index.ts
@@ -28,23 +28,15 @@ export const adaptor33 = v0_33;
  */
 export const adaptor34 = v0_33; // With this alias we can swap out the implementation without affecting caller code.
 
-const hashes = {
-  v0_34: [
-    "ca2c9df", // v0.34.0-rc6
-    "182fa32", // v0.34.0
-  ],
-};
-
 /**
  * Returns an Adaptor implementation for a given tendermint version.
  * Throws when version is not supported.
  *
  * @param version full Tendermint version string, e.g. "0.20.1"
  */
-export function adaptorForVersion(version: string): Adaptor {
-  if (version.startsWith("0.33.") || version.startsWith("0.34.") || hashes.v0_34.includes(version)) {
-    return v0_33;
-  } else {
-    throw new Error(`Unsupported tendermint version: ${version}`);
-  }
+export function adaptorForVersion(_version: string): Adaptor {
+  // Note: In some cases, Tendermint 0.34 returns an empty version value.
+  // This supports 0.33 and 0.34 now, no matter which version you provide.
+  // Very soon this function becomes obsolete (https://github.com/cosmos/cosmjs/issues/789).
+  return v0_33;
 }
diff --git a/packages/tendermint-rpc/src/legacy/client.spec.ts b/packages/tendermint-rpc/src/legacy/client.spec.ts
index a3c290a5..eda05c4a 100644
--- a/packages/tendermint-rpc/src/legacy/client.spec.ts
+++ b/packages/tendermint-rpc/src/legacy/client.spec.ts
@@ -167,7 +167,7 @@ function defaultTestSuite(rpcFactory: () => RpcClient, adaptor: Adaptor, expecte
       const status = await client.status();
 
       // node info
-      expect(status.nodeInfo.version).toEqual(expected.version);
+      expect(status.nodeInfo.version).toMatch(expected.version);
       expect(status.nodeInfo.protocolVersion).toEqual({
         p2p: expected.p2pVersion,
         block: expected.blockVersion,
diff --git a/packages/tendermint-rpc/src/tendermint34/tendermint34client.spec.ts b/packages/tendermint-rpc/src/tendermint34/tendermint34client.spec.ts
index 1f5b1666..2c33d216 100644
--- a/packages/tendermint-rpc/src/tendermint34/tendermint34client.spec.ts
+++ b/packages/tendermint-rpc/src/tendermint34/tendermint34client.spec.ts
@@ -166,7 +166,7 @@ function defaultTestSuite(rpcFactory: () => RpcClient, expected: ExpectedValues)
       const status = await client.status();
 
       // node info
-      expect(status.nodeInfo.version).toEqual(expected.version);
+      expect(status.nodeInfo.version).toMatch(expected.version);
       expect(status.nodeInfo.protocolVersion).toEqual({
         p2p: expected.p2pVersion,
         block: expected.blockVersion,
diff --git a/packages/tendermint-rpc/src/testutil.spec.ts b/packages/tendermint-rpc/src/testutil.spec.ts
index c7315bf5..353dd26f 100644
--- a/packages/tendermint-rpc/src/testutil.spec.ts
+++ b/packages/tendermint-rpc/src/testutil.spec.ts
@@ -1,9 +1,12 @@
 import { toAscii } from "@cosmjs/encoding";
 import { sleep } from "@cosmjs/utils";
 
+export const chainIdMatcher = /^[-a-zA-Z0-9]{3,30}$/;
+export const anyMatcher = /^.*$/; // Any string, including empty. Does not do more than a type check.
+
 export interface ExpectedValues {
   /** The Tendermint version as reported by Tendermint itself */
-  readonly version: string;
+  readonly version: string | RegExp;
   readonly appCreator: string;
   readonly p2pVersion: number;
   readonly blockVersion: number;
@@ -49,7 +52,7 @@ export const tendermintInstances: readonly TendermintInstance[] = [
     version: "0.34.x",
     blockTime: 500,
     expected: {
-      version: "182fa32", // srsly?
+      version: anyMatcher,
       appCreator: "Cosmoshi Netowoko",
       p2pVersion: 8,
       blockVersion: 11,
@@ -60,8 +63,6 @@ export const tendermintInstances: readonly TendermintInstance[] = [
 
 export const defaultInstance: TendermintInstance = tendermintInstances[0];
 
-export const chainIdMatcher = /^[-a-zA-Z0-9]{3,30}$/;
-
 export function tendermintEnabled(): boolean {
   return !!process.env.TENDERMINT_ENABLED;
 }
diff --git a/scripts/tendermint/all_start.sh b/scripts/tendermint/all_start.sh
index bbe27ca1..37a87fa8 100755
--- a/scripts/tendermint/all_start.sh
+++ b/scripts/tendermint/all_start.sh
@@ -5,7 +5,7 @@ command -v shellcheck >/dev/null && shellcheck "$0"
 # Find latest patch releases at https://hub.docker.com/r/tendermint/tendermint/tags/
 declare -a TM_VERSIONS
 TM_VERSIONS[33]=v0.33.8
-TM_VERSIONS[34]=v0.34.0
+TM_VERSIONS[34]=v0.34.10
 
 SCRIPT_DIR="$(cd "$(dirname "${BASH_SOURCE[0]}")" && pwd)"
 
diff --git a/scripts/tendermint/all_stop.sh b/scripts/tendermint/all_stop.sh
index a2ccd3e2..e77084df 100755
--- a/scripts/tendermint/all_stop.sh
+++ b/scripts/tendermint/all_stop.sh
@@ -4,7 +4,7 @@ command -v shellcheck >/dev/null && shellcheck "$0"
 
 declare -a TM_VERSIONS
 TM_VERSIONS[33]=v0.33.8
-TM_VERSIONS[34]=v0.34.0
+TM_VERSIONS[34]=v0.34.10
 
 SCRIPT_DIR="$(cd "$(dirname "${BASH_SOURCE[0]}")" && pwd)"