The player was deemed surplus to requirements at Stamford Bridge after the arrival of the Brazilian Willian and was sent on-loan to Anfield for a season. But the Nigerian has quickly bedded in and has helped Liverpool to second position on the league table after six matches.
He scored on his debut at Swansea last month and has played all league matches since then.
"I am loving it here and I am very satisfied. As long as I am on the pitch I just want to enjoy myself," Moses told Liverpool’s official website
"The more games you play the more experience you get and I just want to carry on playing, help the team out and score some more goals.
"We are doing well, second in the league and we've just got to keep the momentum going and keep winning games really.
“I am loving it here and I am very satisfied. As long as I am on the pitch I just want to enjoy myself,” he added.
Liverpool are expected to continue their great start in the league when they host lowly Crystal Palace at Anfield next Saturday.