The 30-year-old is currently at Dutch club Groningen, where he has been for three-and-a-half years following his move from Viking.
Cottagers boss Roy Hodgson, who worked with Nevland during their time at Viking, is set to hand him a two-and-half-year contract at Craven Cottage.
"It was always a dream for me to play in the Premier League. This is the chance of my life," Nevland told Dagblad van het Noorden.
"I understand it is a difficult decision for Groningen to let me go, but this year I will be 31.
"Personally I prefer to end the season here, but that is not an option. It's now or never. I hope they will cooperate and I think I deserve that."
He said: "Our standpoint is clear. We understand it is a big chance for Erik and he understands we could not miss him. We will talk about this situation."