The 22-year-old left AAMI Park with blood dripping from his mouth following a head clash with Brisbane winger Corey Oates midway through the second half.
Storm coach Craig Bellamy said Munster was likely to have a plate inserted.
"He's a young guy and tough kid so they will do what they've got to do tomorrow and go get a plate put in it and hopefully he will be back as soon as possible."
Munster has been covering for Billy Slater at fullback and got his first crack at five-eighth due to Slater's return.
While Munster impressed in his short time at No.6, Bellamy said he would revert to Ryley Jacks in the role.
"It's really disappointing because he's a great competitor and a great player and we were really looking forward to him playing five-eighth and seeing how he goes because I think he'll be a real success but that's on the backburner now."
Bellamy said he hoped he would only be out for four to six weeks.
