And with Morrison back, one of five Scots made available from the wider Six Nations squad, is after a first win in all competitions since their New Year's Day triumph over Edinburgh.
Dougie Hall, Jon Welsh, Tom Ryder and Rob Harley have all been made available by Andy Robinson and they will be looking to maintain the excellent home form that has seen them win their last four in the RaboDirect PRO12.
"I'm really pleased to be able to call on Graeme Morrison's experience and leadership for this game," said Lineen.
"He's clearly very disappointed not to be involved with Scotland, but he'll use that frustration to our benefit and put in his usual committed, passionate performance.
"The Scarlets game is huge for us. They're a very talented and savvy team who have their own play-off aspirations.
"It's vital we kick off this next phase in our season in the best possible fashion, and it's going to take a big performance from every single player to achieve that.
"We're really happy with our 23 for tomorrow night. The core of the pack is made up of guys who have done very well as a unit for both Glasgow and Scotland A."
With one point separating the two sides, Scarlets skills coach Mark Jones is under no illusions that the business end of the season is fast approaching.
After progressing to the LV= Cup semi-finals despite a 19-14 loss to Sale on Saturday coach Nigel Davies has made just two changes - welcoming back Iestyn Thomas and Mat Gilbert.
The Scarlets have won their last six games against Scottish opponents and their last three clashes with Glasgow since the Warriors' 37-32 victory at Parc Y Scarlets on May 7 2010.
They have also been victorious in their last three RaboDirect PRO12 fixtures, whilst their only defeat in their last eight matches in the tournament was a 24-17 reverse away to Ulster on December 2.
But they will be without the likes of Rhys Priestland, George North, Jonathan Davies and Scott Williams who are all away with Wales, however former Wales winger Jones isn't overly concerned.
"This block of rugby during the Six Nations is very important to us," said Jones.
"We need to come through with wins and keep a healthy squad with so many internationals away which does put the pressure on.
"The positive is that this wider squad of Scarlets players have been the core of our success this season and probably won most of our crucial games to keep us in contention in all three competitions.
"A lot of credit should be given to these boys, they've shown real mettle and commitment to the Scarlets campaign this season - they've played a major part in us reaching two play-offs already this season.
"The test is now how we compete in the league and that's the one we are all really focused on now because if we can get into the top four at the end of the season, it will be a major indicator to us of how far we have come and that we are building consistency and depth as a group - despite the disruptions of losing our international players.
"Glasgow are a good physical side, they have a strong set-up and it will be a bruising battle because as much as they have in terms of attack their pack will give us plenty to deal with."
Referee : Nigel Owens (WRU, 79th competition game)
Assistant Referees: AndyMacpherson, Bob Nevins (both SRU)
Citing Commissioner : Rob Flockhart (SRU)
TMO: JimYuille (SRU)
Live on BCB Cymru Wales and BBC Alba.