This will be McNally's third spell at the Cables following his departure from the club at the end of last season after making 14 appearances.
McNally has also featured for Burscough and NPL sides Skelmersdale United and Widnes.
Prescot currently sit in 7th place in the league, and could climb to 2nd with a win against Clitheroe, should other results go in their favour.
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