The attacking midfielder has previously featured for Southern Football League Division One side Didcot Town, where he made 35 appearances and scored six times.
A former Oxford City Youth player, Alabi played a pivotal role in their league and cup winning 2017/18 season.
He has also featured for Southern Football League sides North Leigh and Thame United on two occasions, before making the move to Didcot Town during the 2020/21 season.
He will go into contention for Skelmersdale United's next fixture at home to Ramsbottom United on Saturday.
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