General :: Tcpdump Decode Gzip Packets?

Does gzip have the capability to decode gzipped traffic? I have been beating my head against the wall with this issue. What I'm trying to do is capture traffic between a web server and clients, and I've got it set up where it's redirected to a file for ease of grepping, however it's seemingly incapable of decoding gzipped encoding. I know I can do this with tshark, I'm curious as to whether tcpdump has this capability (i.e. only using tcpdump, and not some additional tool like tcpshow or what-not).

I can't find much on this issue in the man page for tcpdump, but it is fairly lengthy, so it's possible that I missed something, but I don't see that as especially likely.