The Nigerian winger hopes to build on winning the Uefa Europa League with Chelsea
Moses, who has made five appearances for the Anfield side has scored one goal as Liverpool continued their good start to the season.
"We'd like to push for trophies this season, so I'm just going to help the team with that aim," Moses told his club's official website.
"It's a massive club with great history and so I just want to add to that. I'm just here to do my best for Liverpool, there's no question about that.”
Moses was dropped to the bench for the last league match against West Brom, which Liverpool won 4-1.
"We've got a really great squad here, with quality players and I'm honoured to be part of it,” he concluded.