diff --git a/gnu/packages/tls.scm b/gnu/packages/tls.scm
index 297e16dd70..ed22518e02 100644
--- a/gnu/packages/tls.scm
+++ b/gnu/packages/tls.scm
@@ -447,97 +447,11 @@ required structures.")
    (home-page "https://www.openssl.org/")))
 
 (define-public openssl-1.0
-  (package
-    (inherit openssl)
+  (package/inherit openssl
     (name "openssl")
-    (version "1.0.2u")
-    (source (origin
-              (method url-fetch)
-              (uri (list (string-append "https://www.openssl.org/source/openssl-"
-                                        version ".tar.gz")
-                         (string-append "ftp://ftp.openssl.org/source/"
-                                        "openssl-" version ".tar.gz")
-                         (string-append "ftp://ftp.openssl.org/source/old/"
-                                        (string-trim-right version char-set:letter)
-                                        "/openssl-" version ".tar.gz")))
-              (sha256
-               (base32
-                "05lxcs4hzyfqd5jn0d9p0fvqna62v2s4pc9qgmq0dpcknkzwdl7c"))
-              (patches (search-patches "openssl-runpath.patch"
-                                       "openssl-c-rehash-in.patch"))))
-    (outputs '("out"
-               "doc"                    ;1.5MiB of man3 pages
-               "static"))               ;6MiB of .a files
     (arguments
-     (substitute-keyword-arguments (package-arguments openssl)
-       ;; Parallel build is not supported in 1.0.x.
-       ((#:parallel-build? _ #f) #f)
-       ((#:phases phases)
-        `(modify-phases ,phases
-           (add-before 'patch-source-shebangs 'patch-tests
-             (lambda* (#:key inputs native-inputs #:allow-other-keys)
-               (let ((bash (assoc-ref (or native-inputs inputs) "bash")))
-                 (substitute* (find-files "test" ".*")
-                   (("/bin/sh")
-                    (string-append bash "/bin/sh"))
-                   (("/bin/rm")
-                    "rm"))
-                 #t)))
-           (add-before 'configure 'patch-Makefile.org
-             (lambda* (#:key outputs #:allow-other-keys)
-               ;; The default MANDIR is some unusual place.  Fix that.
-               (let ((out (assoc-ref outputs "out")))
-                 (patch-makefile-SHELL "Makefile.org")
-                 (substitute* "Makefile.org"
-                   (("^MANDIR[[:blank:]]*=.*$")
-                    (string-append "MANDIR = " out "/share/man\n")))
-                 #t)))
-	   (replace 'configure
-	     ;; Override this phase because OpenSSL 1.0 does not understand -rpath.
-	     (lambda* (#:key outputs #:allow-other-keys)
-	       (let ((out (assoc-ref outputs "out")))
-		 (invoke ,@(if (%current-target-system)
-			       '("./Configure")
-			       '("./config"))
-			 "shared"                 ;build shared libraries
-			 "--libdir=lib"
-
-			 ;; The default for this catch-all directory is
-			 ;; PREFIX/ssl.  Change that to something more
-			 ;; conventional.
-			 (string-append "--openssldir=" out
-					"/share/openssl-" ,version)
-
-			 (string-append "--prefix=" out)
-			 ,@(if (%current-target-system)
-			       '((getenv "CONFIGURE_TARGET_ARCH"))
-			       '())))))
-        (delete 'move-extra-documentation)
-        (add-after 'install 'move-man3-pages
-          (lambda* (#:key outputs #:allow-other-keys)
-            ;; Move section 3 man pages to "doc".
-            (let* ((out    (assoc-ref outputs "out"))
-                   (man3   (string-append out "/share/man/man3"))
-                   (doc    (assoc-ref outputs "doc"))
-                   (target (string-append doc "/share/man/man3")))
-              (mkdir-p target)
-              (for-each (lambda (file)
-                          (rename-file file
-                                       (string-append target "/"
-                                                      (basename file))))
-                        (find-files man3))
-              (delete-file-recursively man3)
-              #t)))
-           ;; XXX: Duplicate this phase to make sure 'version' evaluates
-           ;; in the current scope and not the inherited one.
-           (replace 'remove-miscellany
-             (lambda* (#:key outputs #:allow-other-keys)
-               ;; The 'misc' directory contains random undocumented shell and Perl
-               ;; scripts.  Remove them to avoid retaining a reference on Perl.
-               (let ((out (assoc-ref outputs "out")))
-                 (delete-file-recursively (string-append out "/share/openssl-"
-                                                         ,version "/misc"))
-                 #t)))))))))
+     `(#:configure-flags (list "--api=1.0.0")
+       ,@((package-arguments openssl))))))
 
 (define-public libressl
   (package
