Munster are still waiting for a diagnosis on Craig Casey's injury but hope to have more clarity later this week.
The 26-year-old Ireland scrum-half suffered a thigh / hamstring injury in training last Tuesday and the province said that the best-case scenario was a two-week lay-off.
"It hasn’t been fully diagnosed yet," attack coach Mike Prendergast told RTÉ Sport on Monday afternoon.
"There is a hamstring injury there. He’s still doing a couple of tests on it.
"We’re hoping it won’t be too long, hopefully in the next week or two.
"There’ll probably be a bit more clarity towards the end of the week, around Thursday or so.
"We’re hoping and we’ll wait and see to get a bit of good news there.
"As of now, nothing is clear or set in stone in terms of availability, so we’ll know more towards the end of the week."
Munster face Edinburgh on Friday night (7.45pm) and a number of players who haven't featured yet this season have stepped up their rehabilitation and may be considered.
Edwin Edogbo, Tom Farrell, Mikey Milne, John Ryan, Roman Salanoa and Andrew Smith are all in the mix.
Niall Scannell will be assessed later on in the week for a hand laceration, while JJ Hanrahan and Mike Haley, who were injured in their opening win over Scarlets, may also feature.
However, Shane Daly will go through the return-to-play protocols following a head injury suffered in the win over Cardiff.
Munster edged a scrappy affair against the Welsh side at Thomond Park in difficult conditions on Saturday night and Prendergast admitted that they expect better from themselves.

He said: "In terms of the contact zone, the Scarlets game, our collisions both sides of the ball we were quite dominant.
"Obviously against Cardiff, we came up short there.
"As Clayton [McMillan] alluded to, to win and get the result was really important but some of the content within it, aspects of our game, as opposed to the previous week we came up short.
"They are the aspects we looked at this morning, to improve them and add onto what we did well against Scarlets.
"It was probably flat, we were disappointed in that aspect.
"The contact zone was something we took away from the previous week.
"When you have it in attack you can play with quick ball.
"Credit to Cardiff, they didn’t allow us to win those collisions and that’s back on us as well and why we didn’t win it.
"Through a long season... there are going to be three or four games like that and it’s about finding a way and we did."
Edinburgh lost 31-28 away to Zebre in the opening round and didn’t play last weekend when Storm Amy forced the cancellation of their home game against Ulster.
Prendergast is hoping, at this early stage of the season, that the continuity will benefit Munster.
"You’d hope so," he said.
"In terms of continuity and combinations, you would hope we use that to our advantage.
"The other side is they are going to be fresher. Their game is the contact zone and they are very good at it.
"The physical side is a massive part of the Scottish games, looking to win those collisions, that’s the areas we need to improve.
"At the start of the year you will scout the opposition, you look at their characteristics, what are their strengths and what are the areas you can you go after.
"Once you get to three or four games you get a sense of where the opposition are.
"I don’t think they’ve veered too far off last season. Their kicking game, their set-piece and they try to smother you.
"Once they get into the 22, they are powerful. It’s about imposing our game."