diff --git a/src/index.js b/src/index.js
index 312cd1317..36dd1997d 100644
--- a/src/index.js
+++ b/src/index.js
@@ -235,7 +235,11 @@ export default async function fetch(url, options_) {
 				});
 			}
 
-			let body = pump(response_, new PassThrough(), reject);
+			let body = pump(response_, new PassThrough(), error => {
+				if (error) {
+					reject(error);
+				}
+			});
 			// see https://github.com/nodejs/node/pull/29376
 			/* c8 ignore next 3 */
 			if (process.version < 'v12.10') {
@@ -281,7 +285,11 @@ export default async function fetch(url, options_) {
 
 			// For gzip
 			if (codings === 'gzip' || codings === 'x-gzip') {
-				body = pump(body, zlib.createGunzip(zlibOptions), reject);
+				body = pump(body, zlib.createGunzip(zlibOptions), error => {
+					if (error) {
+						reject(error);
+					}
+				});
 				response = new Response(body, responseOptions);
 				resolve(response);
 				return;
@@ -291,20 +299,48 @@ export default async function fetch(url, options_) {
 			if (codings === 'deflate' || codings === 'x-deflate') {
 				// Handle the infamous raw deflate response from old servers
 				// a hack for old IIS and Apache servers
-				const raw = pump(response_, new PassThrough(), reject);
+				const raw = pump(response_, new PassThrough(), error => {
+					if (error) {
+						reject(error);
+					}
+				});
 				raw.once('data', chunk => {
 					// See http://stackoverflow.com/questions/37519828
-					body = (chunk[0] & 0x0F) === 0x08 ? pump(body, zlib.createInflate(), reject) : pump(body, zlib.createInflateRaw(), reject);
+					if ((chunk[0] & 0x0F) === 0x08) {
+						body = pump(body, zlib.createInflate(), error => {
+							if (error) {
+								reject(error);
+							}
+						});
+					} else {
+						body = pump(body, zlib.createInflateRaw(), error => {
+							if (error) {
+								reject(error);
+							}
+						});
+					}
 
 					response = new Response(body, responseOptions);
 					resolve(response);
 				});
+				raw.once('end', () => {
+					// Some old IIS servers return zero-length OK deflate responses, so
+					// 'data' is never emitted. See https://github.com/node-fetch/node-fetch/pull/903
+					if (!response) {
+						response = new Response(body, responseOptions);
+						resolve(response);
+					}
+				});
 				return;
 			}
 
 			// For br
 			if (codings === 'br') {
-				body = pump(body, zlib.createBrotliDecompress(), reject);
+				body = pump(body, zlib.createBrotliDecompress(), error => {
+					if (error) {
+						reject(error);
+					}
+				});
 				response = new Response(body, responseOptions);
 				resolve(response);
 				return;
diff --git a/test/main.js b/test/main.js
index 13ba188ba..a8e2d0eab 100644
--- a/test/main.js
+++ b/test/main.js
@@ -946,6 +946,17 @@ describe('node-fetch', () => {
 		});
 	});
 
+	it('should handle empty deflate response', () => {
+		const url = `${base}empty/deflate`;
+		return fetch(url).then(res => {
+			expect(res.headers.get('content-type')).to.equal('text/plain');
+			return res.text().then(result => {
+				expect(result).to.be.a('string');
+				expect(result).to.be.empty;
+			});
+		});
+	});
+
 	it('should decompress brotli response', function () {
 		if (typeof zlib.createBrotliDecompress !== 'function') {
 			this.skip();
diff --git a/test/utils/server.js b/test/utils/server.js
index f01d15b78..a84efb8b0 100644
--- a/test/utils/server.js
+++ b/test/utils/server.js
@@ -179,6 +179,13 @@ export default class TestServer {
 			});
 		}
 
+		if (p === '/empty/deflate') {
+			res.statusCode = 200;
+			res.setHeader('Content-Type', 'text/plain');
+			res.setHeader('Content-Encoding', 'deflate');
+			res.end();
+		}
+
 		if (p === '/sdch') {
 			res.statusCode = 200;
 			res.setHeader('Content-Type', 'text/plain');