diff --git a/lib/core/constants.js b/lib/core/constants.js
index 088cf47d80f..7efde2ef258 100644
--- a/lib/core/constants.js
+++ b/lib/core/constants.js
@@ -1,5 +1,9 @@
 'use strict'
 
+const nullBodyStatus = /** @type {const} */ ([101, 204, 205, 304])
+
+const redirectStatus = /** @type {const} */ ([301, 302, 303, 307, 308])
+
 /**
  * @see https://developer.mozilla.org/docs/Web/HTTP/Headers
  */
@@ -137,6 +141,8 @@ for (let i = 0; i < wellknownHeaderNames.length; ++i) {
 }
 
 module.exports = {
+  nullBodyStatus,
+  redirectStatus,
   wellknownHeaderNames,
   headerNameLowerCasedRecord,
   getHeaderNameAsBuffer
diff --git a/lib/core/util.js b/lib/core/util.js
index 23f979f4ede..fac3a8a9a37 100644
--- a/lib/core/util.js
+++ b/lib/core/util.js
@@ -11,8 +11,12 @@ const nodeUtil = require('node:util')
 const { stringify } = require('node:querystring')
 const { EventEmitter: EE } = require('node:events')
 const { InvalidArgumentError } = require('./errors')
-const { headerNameLowerCasedRecord, getHeaderNameAsBuffer } = require('./constants')
-const { nullBodyStatus, redirectStatusSet } = require('../web/fetch/constants')
+const {
+  headerNameLowerCasedRecord,
+  getHeaderNameAsBuffer,
+  nullBodyStatus,
+  redirectStatus
+} = require('./constants')
 const { tree } = require('./tree')
 
 const [nodeMajor, nodeMinor] = process.versions.node.split('.').map(v => Number(v))
@@ -898,7 +902,7 @@ function decompress (request, response) {
   const willFollow =
     response.headers.get('location') &&
     request.redirect === 'follow' &&
-    redirectStatusSet.has(response.status)
+    redirectStatus.includes(response.status)
 
   if (
     request.method === 'HEAD' ||
@@ -932,11 +936,53 @@ function getCodings (contentEncoding) {
   return codings
 }
 
-let createInflate
+// A Stream, which pipes the response to zlib.createInflate() or
+// zlib.createInflateRaw() depending on the first byte of the Buffer.
+// If the lower byte of the first byte is 0x08, then the stream is
+// interpreted as a zlib stream, otherwise it's interpreted as a
+// raw deflate stream.
+class InflateStream extends stream.Transform {
+  #zlibOptions
+
+  /** @param {zlib.ZlibOptions} [zlibOptions] */
+  constructor (zlibOptions) {
+    super()
+    this.#zlibOptions = zlibOptions
+  }
+
+  _transform (chunk, encoding, callback) {
+    if (!this._inflateStream) {
+      if (chunk.length === 0) {
+        callback()
+        return
+      }
+      this._inflateStream = (chunk[0] & 0x0F) === 0x08
+        ? zlib.createInflate(this.#zlibOptions)
+        : zlib.createInflateRaw(this.#zlibOptions)
+
+      this._inflateStream.on('data', this.push.bind(this))
+      this._inflateStream.on('end', () => this.push(null))
+      this._inflateStream.on('error', (err) => this.destroy(err))
+    }
+
+    this._inflateStream.write(chunk, encoding, callback)
+  }
 
-function lazyCreateInflate (zlibOptions) {
-  createInflate ??= require('../web/fetch/util').createInflate
-  return createInflate(zlibOptions)
+  _final (callback) {
+    if (this._inflateStream) {
+      this._inflateStream.end()
+      this._inflateStream = null
+    }
+    callback()
+  }
+}
+
+/**
+ * @param {zlib.ZlibOptions} [zlibOptions]
+ * @returns {InflateStream}
+ */
+function createInflate (zlibOptions) {
+  return new InflateStream(zlibOptions)
 }
 
 /**
@@ -965,7 +1011,7 @@ function getDecoders (contentEncoding) {
         })
       )
     } else if (coding === 'deflate') {
-      decoders.push(lazyCreateInflate({
+      decoders.push(createInflate({
         flush: zlib.constants.Z_SYNC_FLUSH,
         finishFlush: zlib.constants.Z_SYNC_FLUSH
       }))
diff --git a/lib/web/fetch/constants.js b/lib/web/fetch/constants.js
index ef63b0c8e10..de53b52c0a9 100644
--- a/lib/web/fetch/constants.js
+++ b/lib/web/fetch/constants.js
@@ -1,11 +1,10 @@
 'use strict'
 
+const { nullBodyStatus, redirectStatus } = require('../../core/constants')
+
 const corsSafeListedMethods = /** @type {const} */ (['GET', 'HEAD', 'POST'])
 const corsSafeListedMethodsSet = new Set(corsSafeListedMethods)
 
-const nullBodyStatus = /** @type {const} */ ([101, 204, 205, 304])
-
-const redirectStatus = /** @type {const} */ ([301, 302, 303, 307, 308])
 const redirectStatusSet = new Set(redirectStatus)
 
 /**
diff --git a/lib/web/fetch/util.js b/lib/web/fetch/util.js
index be6060058a3..e86cd45f6b8 100644
--- a/lib/web/fetch/util.js
+++ b/lib/web/fetch/util.js
@@ -1,7 +1,5 @@
 'use strict'
 
-const { Transform } = require('node:stream')
-const zlib = require('node:zlib')
 const { redirectStatusSet, referrerPolicyTokens, badPortsSet } = require('./constants')
 const { getGlobalOrigin } = require('./global')
 const { collectASequenceOfCodePoints, collectAnHTTPQuotedString, removeChars, parseMIMEType } = require('./data-url')
@@ -1485,55 +1483,6 @@ function buildContentRange (rangeStart, rangeEnd, fullLength) {
   return contentRange
 }
 
-// A Stream, which pipes the response to zlib.createInflate() or
-// zlib.createInflateRaw() depending on the first byte of the Buffer.
-// If the lower byte of the first byte is 0x08, then the stream is
-// interpreted as a zlib stream, otherwise it's interpreted as a
-// raw deflate stream.
-class InflateStream extends Transform {
-  #zlibOptions
-
-  /** @param {zlib.ZlibOptions} [zlibOptions] */
-  constructor (zlibOptions) {
-    super()
-    this.#zlibOptions = zlibOptions
-  }
-
-  _transform (chunk, encoding, callback) {
-    if (!this._inflateStream) {
-      if (chunk.length === 0) {
-        callback()
-        return
-      }
-      this._inflateStream = (chunk[0] & 0x0F) === 0x08
-        ? zlib.createInflate(this.#zlibOptions)
-        : zlib.createInflateRaw(this.#zlibOptions)
-
-      this._inflateStream.on('data', this.push.bind(this))
-      this._inflateStream.on('end', () => this.push(null))
-      this._inflateStream.on('error', (err) => this.destroy(err))
-    }
-
-    this._inflateStream.write(chunk, encoding, callback)
-  }
-
-  _final (callback) {
-    if (this._inflateStream) {
-      this._inflateStream.end()
-      this._inflateStream = null
-    }
-    callback()
-  }
-}
-
-/**
- * @param {zlib.ZlibOptions} [zlibOptions]
- * @returns {InflateStream}
- */
-function createInflate (zlibOptions) {
-  return new InflateStream(zlibOptions)
-}
-
 /**
  * @see https://fetch.spec.whatwg.org/#concept-header-extract-mime-type
  * @param {import('./headers').HeadersList} headers
@@ -1773,7 +1722,6 @@ module.exports = {
   simpleRangeHeaderValue,
   buildContentRange,
   parseMetadata,
-  createInflate,
   extractMimeType,
   getDecodeSplit,
   utf8DecodeBytes,
diff --git a/test/decompress-stream.js b/test/decompress-stream.js
index fdce17ddb1a..60426fd9ea8 100644
--- a/test/decompress-stream.js
+++ b/test/decompress-stream.js
@@ -3,6 +3,7 @@
 const { test } = require('node:test')
 const assert = require('node:assert')
 const zlib = require('node:zlib')
+const { Response } = require('../index-fetch')
 const { decompressStream } = require('../lib/core/util')
 
 test('returns the stream as-is given no content encoding', async () => {