Craig Dawson's fifth-minute header, the defender's third goal in two matches, was enough to secure Bolton back-to-back home wins, but their success was soured by the first-half injury to Davies, who has only recently returned from shoulder surgery.
"It has been a massive blow for us to miss Mark for the last three months," said Freedman. "He twisted his knee and we'll see (how severe it is). He's got a scan so let's keep our fingers crossed."
Freedman also explained the absence from his matchday 18 of Chris Eagles and Tyrone Mears.
"Eagles is not well," Freedman said. "He phoned in on Monday and Tyrone Mears has a blood infection so the two of them had to miss out."
But Freedman was delighted with Bolton's solidity at the back against Peterborough.
"For me the signs were there that the training ground work we do day in, day out is paying off," he added.
"Apart from the first 15-20 minutes it wasn't our most fantastic display on the ball, but off the ball, to a man, we worked very hard and made it difficult for Peterborough to have any clear-cut chances.
"Our defensive display has got to be talked about because we were asked a lot of questions."
- Sports & Recreation
- Tyrone Mears