Goal revealed Liverpool's interest in the France international on Saturday, and on Monday he became part of a trio of deadline day signings made by Brendan Rodgers.
The 23-year-old is thrilled to have made the switch from Paris Saint-Germain to table-topping Liverpool, and is keen to help the Reds secure a place in the Champions League.
"My aim while I am here is to play in the Champions League with Liverpool," Sakho told the club's official website.
|12/1||Liverpool are 12/1 with BetVictor to win the Premier League
"The Champions League is a tournament that all the great clubs in Europe participate in and that's where we need to get to.
"With the team we have, and the means put at the disposal of the players, the technical support and the whole club and its supporters are in a good position to get there. This is our objective."
Sakho joined Liverpool on Monday along with Sporting Lisbon defender Thiago Llori, while centre-back Kolo Toure moved to Anfield earlier this summer on a free transfer.
Competition for a place in Rodgers' starting XI is fierce as a result, but the Frenchman believes such rivalry is necessary if Liverpool are to achieve their aims this season.
"In a large club, having competition is something you expect," Sakho continued. "To get the best out of any player, you need to have competition.
"Competition doesn't give me any worries. Competition makes the team grow and makes the club grow because that's the objective and the goal of everyone here.
"I've been at Melwood for a day and it's very good. The training areas are impressive and everything is in place for the players to keep in top condition.
"Everything is adapted for professional sports-people and it really gives a good image of a club like Liverpool."