The former Wigan man signed too late to feature in Chelsea's victory over Newcastle, but hopes to make an appearance in Friday's Super Cup fixture against Atlético Madrid.
"When I first heard that Chelsea had come in for me I was surprised, but I had a call from my agent saying they were really interested in me and what did I think," Moses told the official Chelsea website.
"I said they are the European champions and anyone would like to play there and now that everything is sorted, I am delighted to be here.
"I just want to say to the fans to sit tight, there is more to come from Victor Moses and I hope to do my best for the club and that there are more trophies to come in the future."
Moses has three international caps for Nigeria.