He debuted for the Heartland province in a preseason night fixture against Manawatu Evergreens on August 19, while Saturday's afternoon game was played in sunny and warm temperatures.
Wanganui players spoken to afterwards commented they heard Weepu saying during the first half that he was struggling with the pace of the game.
Wairarapa Bush union CEO Tony Hargood said on Sunday their marquee signing was still in "good spirits" after the match and they did not expect the doctor's appointment to reveal "anything adverse".
"It will be just a stock, standard medical. He was in good heart and might even, potentially, if he gets the all clear, play next week."
Weepu played only 32 games across four English and French clubs after leaving New Zealand in 2014, while last December he received $171,000 in damages from the courts over his sacking by French club Oyonnax after only six months of a two-year deal.