According to Voetbal International, the club are unwilling to meet NEC's asking price for Jasper Cillessen, which is reportedly set at 4m Euros.
Cillessen enjoyed an outstanding 2010/11 campaign, winning the Gelders footballer of the year award and earning a call-up to the Dutch national team.
The 22 year old is widely seen as one of the best goalkeeping talents currently in Holland and is also being strongly linked with Ajax.
Swansea have also moved for Utrecht keeper Michel Vorm, but it's understood that an initial bid has been turned down by the club.
It may well be that a slightly higher bid could be enough to persuade Utrecht into parting with their man, after the Dutch club signed Junior Fernandez – seemingly a replacement – last week.
Brendan Rodgers is desperate to land a new shot stopper before the big kick-off at Manchester City a week Monday, with a move for Lee Camp now looking unlikely.
Gerhard Tremmel impressed in last night's 2-0 win over Celtic, and he should get another opportunity to impress against Real Betis this weekend.