The Andretti Autosport driver was released from Lehigh Valley Hospital - Cedar Crest in Allentown on Saturday evening, having been taken there by road for checks after a heavy impact with the wall during qualifying.
But an IndyCar statement said Hunter-Reay, who suffered hip and knee injuries, was not yet cleared to drive and would be re-evaluated on Sunday morning.
"I hit my hip pretty bad as well as my knee, so the doctors thought it would be best to go in for further evaluation.
Hunter-Reay's accident was one of three big impacts at Pocono on Saturday, with Ed Carpenter crashing in practice and Helio Castroneves doing so shortly before Hunter-Reay in qualifying.
Carpenter, who missed qualifying, and Castroneves were both able to run in Saturday evening's final practice session in their repaired cars.
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