Moutaouakil, who plays at right-back, made only 29 appearances since joining from French side Chateauroux in a £400,000 deal.
He spent three months on loan at Motherwell last season where he featured 15 times.
The trial is likely to fuel further speculation over the future of Spanish right-back Angel Rangel, who is wanted by Blackpool.
Swansea have already turned down a bid from the Seasiders, but it is understood Rangel is interested in a move to the Premier League new boys.
Source: BBC Sport
Source: BBC Sport