The 30-year-old has scored 43 goals in 92 starts for Dutch side Groningen.
Cottagers boss Roy Hodgson is set to hand the former Viking striker 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.”