Do I need to get a new transmission?

I recently blew a head gasket in my 2003 Honda Civic EX and the engine got full of water. I decided to just replace the engine with a different one. I was looking at a K20A 2.0l, which is a vtec. Would I need to replace the transmission for a different one as well? If so, can I please get a list of transmissions if I do?
And if I do just get the original 1.7 vtec can you please put a link for me to the transmission so I can look at it?
Thank You

Read more: Do I need to get a new transmission?