The 23-year-old midfielder is on the verge of becoming Ole Gunnar Solskjaer's first signing after he visited St James' Park to watch the club beat Newcastle in the FA Cup
Eikrem was in the stands at St James' Park on Saturday as Cardiff came from behind to beat Newcastle United 2-1 in the FA Cup third round in their first game under Ole Gunnar Solskjaer.
The versatile 23-year-old worked with Solskjaer during his spell at Molde and was also coached by his Norwegian compatriot when the Cardiff boss was in charge of Manchester United's reserve side.
"It's a shame he's [Eikrem] leaving because in the final period of the first half of the season he has been important for us," Van Basten told Leeuwarden Courant.
Eikrem has scored two goals in 13 appearances since joining from Molde in June.