diff --git a/CHANGELOG.md b/CHANGELOG.md
index 628de353..3e3e6c42 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -11,8 +11,13 @@ and this project adheres to
 - all: The TypeScript compilation target is now ES2020 ([#1002]).
 - @cosmjs/tendermint-rpc: Remove unused `index` field from `RpcTxEvent` and
   `TxEvent`. This is unset starting with Tendermint 0.34.
+- @cosmjs/crypto: The pbkdf2 implementation for old Node.js versions
+  `pbkdf2Sha512Crypto` was removed. Node.js has sufficient support for WebCrypto
+  these days and we still have a pure-JS fallback implementation. This avoids
+  unnecessary problems around importing Node.js modules. ([#1341])
 
 [#1002]: https://github.com/cosmos/cosmjs/issues/1002
+[#1341]: https://github.com/cosmos/cosmjs/issues/1341
 
 ## [0.29.5] - 2022-12-07
 
diff --git a/packages/crypto/src/pbkdf2.spec.ts b/packages/crypto/src/pbkdf2.spec.ts
index d76b48c4..e22e3199 100644
--- a/packages/crypto/src/pbkdf2.spec.ts
+++ b/packages/crypto/src/pbkdf2.spec.ts
@@ -1,13 +1,6 @@
 import { fromHex, toAscii, toUtf8 } from "@cosmjs/encoding";
 
-import {
-  getCryptoModule,
-  getSubtle,
-  pbkdf2Sha512,
-  pbkdf2Sha512Crypto,
-  pbkdf2Sha512Noble,
-  pbkdf2Sha512Subtle,
-} from "./pbkdf2";
+import { getSubtle, pbkdf2Sha512, pbkdf2Sha512Noble, pbkdf2Sha512Subtle } from "./pbkdf2";
 
 interface TestVector {
   secret: Uint8Array;
@@ -146,25 +139,6 @@ describe("pbkdf2", () => {
     });
   });
 
-  describe("pbkdf2Sha512Crypto", () => {
-    it("works", async () => {
-      const crypto = await getCryptoModule();
-      if (!crypto) pending("The crypto module is not available in this environment");
-
-      {
-        const { secret, salt, iterations, keylen, expected } = botanTest;
-        const hash = await pbkdf2Sha512Crypto(crypto, secret, salt, iterations, keylen);
-        expect(hash).toEqual(expected);
-      }
-
-      for (const [index, test] of brycxTests.entries()) {
-        const { secret, salt, iterations, keylen, expected } = test;
-        const hash = await pbkdf2Sha512Crypto(crypto, secret, salt, iterations, keylen);
-        expect(hash).withContext(`brycx tests index ${index}`).toEqual(expected);
-      }
-    });
-  });
-
   describe("pbkdf2Sha512Noble", () => {
     it("works", async () => {
       {
diff --git a/packages/crypto/src/pbkdf2.ts b/packages/crypto/src/pbkdf2.ts
index 38ad1ab3..fb60f836 100644
--- a/packages/crypto/src/pbkdf2.ts
+++ b/packages/crypto/src/pbkdf2.ts
@@ -2,27 +2,6 @@ import { assert } from "@cosmjs/utils";
 import { pbkdf2Async as noblePbkdf2Async } from "@noble/hashes/pbkdf2";
 import { sha512 as nobleSha512 } from "@noble/hashes/sha512";
 
-/**
- * Returns the Node.js crypto module when available and `undefined`
- * otherwise.
- *
- * Detects an unimplemented fallback module from Webpack 5 and returns
- * `undefined` in that case.
- */
-export async function getCryptoModule(): Promise<any | undefined> {
-  try {
-    const crypto = await import("crypto");
-    // We get `Object{default: Object{}}` as a fallback when using
-    // `crypto: false` in Webpack 5, which we interprete as unavailable.
-    if (typeof crypto === "object" && Object.keys(crypto).length <= 1) {
-      return undefined;
-    }
-    return crypto;
-  } catch {
-    return undefined;
-  }
-}
-
 export async function getSubtle(): Promise<any | undefined> {
   // From Node.js 15 onwards, webcrypto is available in globalThis.
   // In version 15 and 16 this was stored under the webcrypto key.
@@ -68,29 +47,6 @@ export async function pbkdf2Sha512Subtle(
   );
 }
 
-export async function pbkdf2Sha512Crypto(
-  // eslint-disable-next-line @typescript-eslint/explicit-module-boundary-types
-  crypto: any,
-  secret: Uint8Array,
-  salt: Uint8Array,
-  iterations: number,
-  keylen: number,
-): Promise<Uint8Array> {
-  assert(crypto, "Argument crypto is falsy");
-  assert(typeof crypto === "object", "Argument crypto is not of type object");
-  assert(typeof crypto.pbkdf2 === "function", "crypto.pbkdf2 is not a function");
-
-  return new Promise((resolve, reject) => {
-    crypto.pbkdf2(secret, salt, iterations, keylen, "sha512", (error: any, result: any) => {
-      if (error) {
-        reject(error);
-      } else {
-        resolve(Uint8Array.from(result));
-      }
-    });
-  });
-}
-
 export async function pbkdf2Sha512Noble(
   secret: Uint8Array,
   salt: Uint8Array,
@@ -113,11 +69,6 @@ export async function pbkdf2Sha512(
   if (subtle) {
     return pbkdf2Sha512Subtle(subtle, secret, salt, iterations, keylen);
   } else {
-    const crypto = await getCryptoModule();
-    if (crypto) {
-      return pbkdf2Sha512Crypto(crypto, secret, salt, iterations, keylen);
-    } else {
-      return pbkdf2Sha512Noble(secret, salt, iterations, keylen);
-    }
+    return pbkdf2Sha512Noble(secret, salt, iterations, keylen);
   }
 }