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.
Nevland, who spent his formative years at Manchester United but failed to make the breakthrough at Old Trafford, has bagged 43 goals in 92 starts and that impressive record looks set to earn a move back to England.
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."