The 2014-15 Guinness PRO12 champions hope the move will put an end to weather-hit campaigns, with three matches moved from Scotstoun last season due to heavy rainfall making the pitch unplayable.
Warriors head coach Gregor Townsend said: "We've played a lot on the Cardiff Arms Park surface over the last few years and we enjoyed playing on the Rugby Park pitch last season.
"We aim to play high tempo rugby and this state-of-the-air artificial surface will help us produce a faster game."
Three Premiership sides also have artificial pitches, with Worcester joining Saracens and Newcastle Falcons in making the switch, and councillors on Glasgow City's Executive Committee will be asked to approve the Warriors' plans this week.
"After the challenges of last season, it's great that we're close to installing a pitch that will give us a consistently excellent surface all season, to play the exciting rugby that we like to play," said Warriors Managing Director Nathan Bombrys.
"We believe the new artificial pitch could also open up opportunities to bring some additional rugby matches and events to Scotstoun, which will assist our efforts to grow our sport in the West of Scotland."
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