diff --git a/.appveyor.yml b/.appveyor.yml
index 54a71ab54..81515e40e 100644
--- a/.appveyor.yml
+++ b/.appveyor.yml
@@ -24,7 +24,7 @@ environment:
       - {PYVER: "34", PYTHON_ARCH: "32"}
       - {PYVER: "34", PYTHON_ARCH: "64"}
 
-    OPENSSL_VERSION: "1_0_2r"
+    OPENSSL_VERSION: "1_1_1b"
     POSTGRES_VERSION: "11_2"
 
     PSYCOPG2_TESTDB: psycopg2_test
@@ -135,11 +135,9 @@ install:
         If ($env:PYTHON_ARCH -Match "32" ) {
             $env:VCVARS_PLATFORM="x86"
             $env:TARGET="VC-WIN32"
-            $env:DO="do_ms"
         } Else {
             $env:VCVARS_PLATFORM="amd64"
             $env:TARGET="VC-WIN64A"
-            $env:DO="do_win64a"
             $env:CPU="AMD64"
         }
     # Download OpenSSL source
@@ -148,22 +146,12 @@ install:
         curl -fsSL -o OpenSSL_%OPENSSL_VERSION%.zip https://github.com/openssl/openssl/archive/OpenSSL_%OPENSSL_VERSION%.zip
       )
 
-    # To use OpenSSL >= 1.1.0, both libpq and psycopg build environments have
-    #   to support the new library names.  Below are commands to build OpenSSL
-    #   1.1.0:
-    #    - mkdir _build
-    #    - cd _build
-    #    - perl ..\Configure %TARGET% no-asm no-shared --prefix=%BASE_DIR%\openssl --openssldir=%BASE_DIR%\openssl
-    #    - nmake build_libs install_dev
-    - IF NOT EXIST %OPENSSLTOP%\lib\ssleay32.lib (
+    - IF NOT EXIST %OPENSSLTOP%\lib\libssl.lib (
         CD %BUILD_DIR% &&
         7z x C:\Others\OpenSSL_%OPENSSL_VERSION%.zip &&
         CD openssl-OpenSSL_%OPENSSL_VERSION% &&
         perl Configure %TARGET% no-asm no-shared no-zlib --prefix=%OPENSSLTOP% --openssldir=%OPENSSLTOP% &&
-        CALL ms\%DO% &&
-        nmake -f ms\nt.mak init headers lib &&
-        COPY inc32\openssl\*.h %OPENSSLTOP%\include\openssl &&
-        COPY out32\*.lib %OPENSSLTOP%\lib &&
+        nmake build_libs install_dev &&
         CD %BASE_DIR% &&
         RMDIR /S /Q %BUILD_DIR%\openssl-OpenSSL_%OPENSSL_VERSION%
       )
@@ -190,12 +178,16 @@ install:
     # Copy over built libraries
     # Prepare local include directory for building from
     # Build pg_config in place
+    # Note patch for OpenSSL 1.1 configuration. See:
+    # https://www.postgresql-archive.org/Compile-psql-9-6-with-SSL-Version-1-1-0-td6054118.html
     # NOTE: Cannot set and use the same variable inside an IF
     - SET PGBUILD=%BUILD_DIR%\postgres-REL_%POSTGRES_VERSION%
     - IF NOT EXIST %PGTOP%\lib\libpq.lib (
         CD %BUILD_DIR% &&
         7z x C:\Others\postgres-REL_%POSTGRES_VERSION%.zip &&
-        CD postgres-REL_%POSTGRES_VERSION%\src\tools\msvc &&
+        CD postgres-REL_%POSTGRES_VERSION% &&
+        patch -p1 < %APPVEYOR_BUILD_FOLDER%\scripts\win_openssl_11.patch &&
+        CD src\tools\msvc &&
         ECHO $config-^>{ldap} = 0; > config.pl &&
         ECHO $config-^>{openssl} = "%OPENSSLTOP:\=\\%"; >> config.pl &&
         ECHO.>> config.pl &&
diff --git a/scripts/appveyor.cache_rebuild b/scripts/appveyor.cache_rebuild
index 28cd082c9..c09e36d00 100644
--- a/scripts/appveyor.cache_rebuild
+++ b/scripts/appveyor.cache_rebuild
@@ -9,7 +9,7 @@ To invalidate the cache, update this file and check it into git.
 Currently used modules built in the cache:
 
 OpenSSL
-        Version: 1.0.2r
+        Version: 1.1.1b
 
 PostgreSQL
         Version: 11.2
diff --git a/scripts/win_openssl_11.patch b/scripts/win_openssl_11.patch
new file mode 100644
index 000000000..57d0bd818
--- /dev/null
+++ b/scripts/win_openssl_11.patch
@@ -0,0 +1,20 @@
+diff --git a/src/include/pg_config.h.win32 b/src/include/pg_config.h.win32
+index dfd6972383..72d1259ffb 100644
+--- a/src/include/pg_config.h.win32
++++ b/src/include/pg_config.h.win32
+@@ -74,12 +74,15 @@
+ 
+ /* Define to 1 if you have the `ASN1_STRING_get0_data' function. */
+ /* #undef HAVE_ASN1_STRING_GET0_DATA */
++#define HAVE_ASN1_STRING_GET0_DATA 1
+ 
+ /* Define to 1 if you have the `BIO_get_data' function. */
+ /* #undef HAVE_BIO_GET_DATA */
++#define HAVE_BIO_GET_DATA 1
+ 
+ /* Define to 1 if you have the `BIO_meth_new' function. */
+ /* #undef HAVE_BIO_METH_NEW */
++#define HAVE_BIO_METH_NEW 1
+ 
+ /* Define to 1 if you have the `cbrt' function. */
+ //#define HAVE_CBRT 1
diff --git a/setup.py b/setup.py
index 660d0c9a3..d5eac11d5 100644
--- a/setup.py
+++ b/setup.py
@@ -366,8 +366,8 @@ def finalize_win32(self):
                     self.library_dirs.append(os.path.join(path, "ms"))
                     break
             if self.have_ssl:
-                self.libraries.append("libeay32")
-                self.libraries.append("ssleay32")
+                self.libraries.append("libcrypto")
+                self.libraries.append("libssl")
                 self.libraries.append("crypt32")
                 self.libraries.append("user32")
                 self.libraries.append("gdi32")