diff --git a/gnu/local.mk b/gnu/local.mk
index 3957e5b3d1..e30fa34efe 100644
--- a/gnu/local.mk
+++ b/gnu/local.mk
@@ -868,7 +868,6 @@ dist_patch_DATA =						\
   %D%/packages/patches/perl-gd-options-passthrough-and-fontconfig.patch \
   %D%/packages/patches/perl-io-socket-ssl-openssl-1.0.2f-fix.patch \
   %D%/packages/patches/perl-net-amazon-s3-moose-warning.patch	\
-  %D%/packages/patches/perl-net-ssleay-disable-ede-test.patch	\
   %D%/packages/patches/perl-net-dns-resolver-programmable-fix.patch	\
   %D%/packages/patches/perl-no-sys-dirs.patch			\
   %D%/packages/patches/perl-module-pluggable-search.patch	\
diff --git a/gnu/packages/patches/perl-net-ssleay-disable-ede-test.patch b/gnu/packages/patches/perl-net-ssleay-disable-ede-test.patch
deleted file mode 100644
index 16f136fb54..0000000000
--- a/gnu/packages/patches/perl-net-ssleay-disable-ede-test.patch
+++ /dev/null
@@ -1,23 +0,0 @@
-Disable a test that fails with openssl-1.0.2b.
-
---- Net-SSLeay-1.68/t/local/33_x509_create_cert.t.orig	2014-06-07 02:01:39.000000000 -0400
-+++ Net-SSLeay-1.68/t/local/33_x509_create_cert.t	2015-06-12 03:38:57.620286888 -0400
-@@ -2,7 +2,7 @@
- 
- use strict;
- use warnings;
--use Test::More tests => 123;
-+use Test::More tests => 122;
- use Net::SSLeay qw/MBSTRING_ASC MBSTRING_UTF8 EVP_PK_RSA EVP_PKT_SIGN EVP_PKT_ENC/;
- use File::Spec;
- use utf8;
-@@ -101,7 +101,8 @@
-   like(my $key_pem3 = Net::SSLeay::PEM_get_string_PrivateKey($pk,"password",$alg1), qr/-----BEGIN (ENCRYPTED|RSA) PRIVATE KEY-----/, "PEM_get_string_PrivateKey+passwd+enc_alg");
-   
-   ok(my $alg2 = Net::SSLeay::EVP_get_cipherbyname("DES-EDE3-OFB"), "EVP_get_cipherbyname");
--  like(my $key_pem4 = Net::SSLeay::PEM_get_string_PrivateKey($pk,"password",$alg2), qr/-----BEGIN (ENCRYPTED|RSA) PRIVATE KEY-----/, "PEM_get_string_PrivateKey+passwd+enc_alg");
-+  # This test fails with openssl-1.0.2b
-+  #like(my $key_pem4 = Net::SSLeay::PEM_get_string_PrivateKey($pk,"password",$alg2), qr/-----BEGIN (ENCRYPTED|RSA) PRIVATE KEY-----/, "PEM_get_string_PrivateKey+passwd+enc_alg");
-   
-   is(Net::SSLeay::X509_NAME_print_ex($name), "O=Company Name,C=UK,CN=Common name text X509", "X509_NAME_print_ex");  
- 
diff --git a/gnu/packages/tls.scm b/gnu/packages/tls.scm
index e36a02a6cc..f3d7177102 100644
--- a/gnu/packages/tls.scm
+++ b/gnu/packages/tls.scm
@@ -587,32 +587,19 @@ (define-public letsencrypt
 (define-public perl-net-ssleay
   (package
     (name "perl-net-ssleay")
-    (version "1.68")
+    (version "1.81")
     (source (origin
               (method url-fetch)
               (uri (string-append "mirror://cpan/authors/id/M/MI/MIKEM/"
                                   "Net-SSLeay-" version ".tar.gz"))
               (sha256
                (base32
-                "1m2wwzhjwsg0drlhp9w12fl6bsgj69v8gdz72jqrqll3qr7f408p"))))
+                "0z8vya34g88bc41kx955sv7y4niwbbywji8liqbl52v29qbvdjq0"))))
     (build-system perl-build-system)
-    (native-inputs
-     `(("patch" ,patch)
-       ("patch/disable-ede-test"
-        ,(search-patch "perl-net-ssleay-disable-ede-test.patch"))))
     (inputs `(("openssl" ,openssl)))
     (arguments
      `(#:phases
        (modify-phases %standard-phases
-         (add-after
-          'unpack 'apply-patch
-          (lambda* (#:key inputs #:allow-other-keys)
-            ;; XXX We apply this patch here instead of in the 'origin' because
-            ;; this package's build system fails badly when the source file
-            ;; times are zeroed.
-            ;; XXX Try removing this patch for perl-net-ssleay > 1.68
-            (zero? (system* "patch" "--force" "-p1" "-i"
-                            (assoc-ref inputs "patch/disable-ede-test")))))
          (add-before
           'configure 'set-ssl-prefix
           (lambda* (#:key inputs #:allow-other-keys)