The playmaker, who has made two cameo substitute appearances in the defeats against West Ham and Manchester City since his move from Heerenveen, believes his new side will begin to pick up points if they continue playing in the same vein.
The 23-year-old Norwegian said that he is fulfilling his dream by playing against the top teams of the Premier League.
Speaking to the club's official website, he said: "I'm really enjoying playing in the Premier League, it's been a dream of mine my whole life and hopefully I can contribute even more in the coming games.
"That's what you want to be doing as a footballer, you want to be playing against players like those at Manchester City because then you know where you're at and what you need to work on.
When asked about Saturday's defeat against Manchester City, Eikrem said: "After a while we started creating something - we had belief and chances ourselves which are always hard to come by against Manchester City.
"After our equaliser, despite them taking the lead again I felt that we were a bit on top of them and looked like possibly getting the score to 2-2 in the second half. Then they scored of course and it became a different game."