Captain Christophe Jallet will also miss the game at 14th-placed Montpellier while front man Zlatan Ibrahimovic is suspended.
Italy midfielder Thiago Motta is set to feature in a league game for the first time since mid-September for PSG who were runners-up last season.
"I do not know yet if he will start the game but he is very important to us," coach Carlo Ancelotti said.
Sissoko recently came back from a knee injury but had to be replaced at halftime when PSG crushed Dinamo Zagreb 4-0 in the Champions League on Tuesday.
Bodmer picked up a thigh problem against St Etienne last weekend.
According to reports, full back Jallet also has a thigh injury. France have replaced him with Olympique Lyon defender Anthony Reveillere for Wednesday's friendly in Italy.
Ibrahimovic will serve the first of his two-game ban after he was sent off for a kung-fu style challenge last weekend.