The 22-year-old Nigeria international arrived at Anfield from Chelsea on a season-long loan and has started the last four matches.
He scored on his debut at Swansea last month and with a shoulder injury sidelining Philippe Coutinho, he has been handed a key role playing just behind the strikers recently.
While there will be a natural settling-in process, Moses is happy with the way his spell on Merseyside has begun.
"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 told LFCTV.
"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."
Having beaten Sunderland last weekend the Reds will look to go on another winning run with lowly Crystal Palace visiting Anfield on Saturday.
Liverpool will be without suspended defensive midfielder Lucas Leiva, who has already accrued five bookings, but with strikers Daniel Sturridge and Luis Suarez clicking into gear at the Stadium of Light the Brazil international knows the side can go on the offensive against Ian Holloway's side.
Suarez's return from a 10-match suspension has given everyone a boost and his two goals against the Black Cats in his first league game back show his sharpness is returning.
Lucas believes not only does the Uruguay international provide a threat up front but he gives them a psychological edge.
"Luis was the best player in the Premier League last year, so having him in our side again this season is just a real boost for all the team and the squad," he told Liverpoolfc.com.
"We just hope he can have the same season that he had last year because he was a really important player for us.
"If he does the same as last season, we will have a better chance to achieve what we want to achieve.
"He's just given us more confidence. The squad that we had without him was a good one but with him back in it, we'll be even better. He's one of the best in the world.
"He's a fighter and he will do everything he can to help the team, just as he did last year and the season before.
"That's what everyone expects from him and I don't think he's thinking any other way.
"He just wants to play his game and score goals and help his team-mates because he has a really good relationship with everyone here at Melwood (training ground)."
In Lucas's absence it may be that Jordan Henderson is switched to his preferred position in central midfield from the right-sided role.
The England Under-21 international has impressed this season, just 12 months after he seemed destined to be leaving the club.
Henderson has noted the advancements he has made in two seasons at Anfield.
"I think I have improved quite a lot, first under Kenny (Dalglish) and than again under Brendan (Rodgers), who I think has brought my game on again," he said.
"Hopefully I can keep learning every day and keep getting better."
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- Lucas Leiva
- Luis Suarez
- Philippe Coutinho