I have the anaconda package and run Spyder. Here is my system information:
anaconda 2018.12 py37_0 Python
I do not have libeay32.dll in bin folder either, but after adding C:\Users\\Anaconda3\pkgs\openssl-1.1.1a-he774522_0\Library\bin to the top of path, it is working. This is on Windows 10 64-bit.
C:\Users\\Anaconda3\pkgs\openssl-1.1.1a-he774522_0\Library\bin