diff --git a/lib/altsvc.c b/lib/altsvc.c
index fc56c251b..d3deba3e8 100644
--- a/lib/altsvc.c
+++ b/lib/altsvc.c
@@ -302,11 +302,12 @@ CURLcode Curl_altsvc_ctrl(struct altsvcinfo *asi, const long ctrl)
  * Curl_altsvc_cleanup() frees an altsvc cache instance and all associated
  * resources.
  */
-void Curl_altsvc_cleanup(struct altsvcinfo *altsvc)
+void Curl_altsvc_cleanup(struct altsvcinfo **altsvcp)
 {
   struct Curl_llist_element *e;
   struct Curl_llist_element *n;
-  if(altsvc) {
+  if(*altsvcp) {
+    struct altsvcinfo *altsvc = *altsvcp;
     for(e = altsvc->list.head; e; e = n) {
       struct altsvc *as = e->ptr;
       n = e->next;
@@ -314,6 +315,7 @@ void Curl_altsvc_cleanup(struct altsvcinfo *altsvc)
     }
     free(altsvc->filename);
     free(altsvc);
+    *altsvcp = NULL; /* clear the pointer */
   }
 }
 
diff --git a/lib/altsvc.h b/lib/altsvc.h
index df2750493..1aeb625ab 100644
--- a/lib/altsvc.h
+++ b/lib/altsvc.h
@@ -61,7 +61,7 @@ CURLcode Curl_altsvc_load(struct altsvcinfo *asi, const char *file);
 CURLcode Curl_altsvc_save(struct Curl_easy *data,
                           struct altsvcinfo *asi, const char *file);
 CURLcode Curl_altsvc_ctrl(struct altsvcinfo *asi, const long ctrl);
-void Curl_altsvc_cleanup(struct altsvcinfo *altsvc);
+void Curl_altsvc_cleanup(struct altsvcinfo **altsvc);
 CURLcode Curl_altsvc_parse(struct Curl_easy *data,
                            struct altsvcinfo *altsvc, const char *value,
                            enum alpnid srcalpn, const char *srchost,
@@ -74,5 +74,6 @@ bool Curl_altsvc_lookup(struct altsvcinfo *asi,
 #else
 /* disabled */
 #define Curl_altsvc_save(a,b,c)
+#define Curl_altsvc_cleanup(x)
 #endif /* CURL_DISABLE_HTTP || USE_ALTSVC */
 #endif /* HEADER_CURL_ALTSVC_H */
diff --git a/lib/easy.c b/lib/easy.c
index a69eb9e56..4da26f914 100644
--- a/lib/easy.c
+++ b/lib/easy.c
@@ -78,6 +78,7 @@
 #include "system_win32.h"
 #include "http2.h"
 #include "dynbuf.h"
+#include "altsvc.h"
 
 /* The last 3 #include files should be in this order */
 #include "curl_printf.h"
@@ -883,6 +884,15 @@ struct Curl_easy *curl_easy_duphandle(struct Curl_easy *data)
       goto fail;
   }
 
+#ifdef USE_ALTSVC
+  if(data->asi) {
+    outcurl->asi = Curl_altsvc_init();
+    if(!outcurl->asi)
+      goto fail;
+    if(outcurl->set.str[STRING_ALTSVC])
+      (void)Curl_altsvc_load(outcurl->asi, outcurl->set.str[STRING_ALTSVC]);
+  }
+#endif
   /* Clone the resolver handle, if present, for the new handle */
   if(Curl_resolver_duphandle(outcurl,
                              &outcurl->state.resolver,
@@ -930,6 +940,7 @@ struct Curl_easy *curl_easy_duphandle(struct Curl_easy *data)
     Curl_dyn_free(&outcurl->state.headerb);
     Curl_safefree(outcurl->change.url);
     Curl_safefree(outcurl->change.referer);
+    Curl_altsvc_cleanup(&outcurl->asi);
     Curl_freeset(outcurl);
     free(outcurl);
   }
diff --git a/lib/url.c b/lib/url.c
index 2f02a0a16..b3884572d 100644
--- a/lib/url.c
+++ b/lib/url.c
@@ -391,11 +391,8 @@ CURLcode Curl_close(struct Curl_easy **datap)
   Curl_dyn_free(&data->state.headerb);
   Curl_safefree(data->state.ulbuf);
   Curl_flush_cookies(data, TRUE);
-#ifdef USE_ALTSVC
   Curl_altsvc_save(data, data->asi, data->set.str[STRING_ALTSVC]);
-  Curl_altsvc_cleanup(data->asi);
-  data->asi = NULL;
-#endif
+  Curl_altsvc_cleanup(&data->asi);
 #if !defined(CURL_DISABLE_HTTP) && !defined(CURL_DISABLE_CRYPTO_AUTH)
   Curl_http_auth_cleanup_digest(data);
 #endif
diff --git a/tests/data/test1908 b/tests/data/test1908
index bf23ef9fc..00ce98a6a 100644
--- a/tests/data/test1908
+++ b/tests/data/test1908
@@ -8,7 +8,7 @@ CURLINFO_EFFECTIVE_URL
 # Server-side
 <reply>
 <data nocheck="yes">
-HTTP/1.1 200 OK
+HTTP/1.1 200 OK swsbounce
 Date: Thu, 09 Nov 2010 14:49:00 GMT
 Server: test-server/fake
 Content-Type: text/html
@@ -17,6 +17,15 @@ Content-Length: 0
 alt-svc: h2="3dbbdetxoyw4nsp6c3cc456oj2ays6s43ezxzsfxxri3h5xqd.example:443"; ma=315360000; persist=1
 
 </data>
+
+# This is the second response
+<data1 nocheck="yes">
+HTTP/1.1 200 OK
+Connection: close
+Content-Length: 0
+alt-svc: h2="second.example:443"; ma=315360000;
+
+</data1>
 </reply>
 
 # Client-side
@@ -56,6 +65,10 @@ GET /1908 HTTP/1.1
 Host: %HOSTIP:%HTTPPORT
 Accept: */*
 
+GET /1908 HTTP/1.1
+Host: %HOSTIP:%HTTPPORT
+Accept: */*
+
 </protocol>
 <stripfile>
 # strip out the (dynamic) expire date from the file so that the rest
diff --git a/tests/libtest/lib1908.c b/tests/libtest/lib1908.c
index bacbc9710..30e7d8019 100644
--- a/tests/libtest/lib1908.c
+++ b/tests/libtest/lib1908.c
@@ -39,7 +39,22 @@ int test(char *URL)
     curl_easy_setopt(hnd, CURLOPT_NOPROGRESS, 1L);
     curl_easy_setopt(hnd, CURLOPT_ALTSVC, "log/altsvc-1908");
     ret = curl_easy_perform(hnd);
+
+    if(!ret) {
+      /* make a copy and check that this also has alt-svc activated */
+      CURL *also = curl_easy_duphandle(hnd);
+      if(also) {
+        ret = curl_easy_perform(also);
+        /* we close the second handle first, which makes it store the alt-svc
+           file only to get overwritten when the next handle is closed! */
+        curl_easy_cleanup(also);
+      }
+    }
+
     curl_easy_reset(hnd);
+
+    /* using the same file name for the alt-svc cache, this clobbers the
+       content just written from the 'also' handle */
     curl_easy_cleanup(hnd);
   }
   curl_global_cleanup();
diff --git a/tests/unit/unit1654.c b/tests/unit/unit1654.c
index 79e97631c..6274d0af8 100644
--- a/tests/unit/unit1654.c
+++ b/tests/unit/unit1654.c
@@ -54,7 +54,7 @@ UNITTEST_START
     return 1;
   result = Curl_altsvc_load(asi, arg);
   if(result) {
-    Curl_altsvc_cleanup(asi);
+    Curl_altsvc_cleanup(&asi);
     return result;
   }
   curl = curl_easy_init();
@@ -131,7 +131,7 @@ UNITTEST_START
 
   curl_easy_cleanup(curl);
   fail:
-  Curl_altsvc_cleanup(asi);
+  Curl_altsvc_cleanup(&asi);
   return unitfail;
 }
 UNITTEST_STOP