The 24-year-old, back with the Pilgrims for a second spell, will now be available for every match in their battle against relegation to the Conference Premier.
Reid, who has played 11 times for Argyle since initially making the loan move in January, scored the first goal of that spell in their 2-0 win at Southend last time out.
He played 25 times for the Glovers this season, scoring six times, before heading out on loan.
Yeovil announced on Wednesday that Middlesbrough midfielder Matty Dolan and Fulham defender Dan Burn will stay at Huish Park until the end of the season.
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