Gregor Townsend's side have won all three games so far, their last two successes coming in Wales with a 33-12 triumph against Cardiff Blues followed by a 33-13 victory over Newport Gwent Dragons last weekend.
The Warriors lie second in the table and face a tough challenge when they host third-placed Connacht tomorrow but Allan is confident his side will extend their winning run in front of the Scotstoun crowd.
And the 22-year-old prop, who joined from rivals Edinburgh over the summer, says he is relishing the chance to enjoy some home comforts after a long time on the road.
"I can't wait to be back playing here, especially on a Friday night," Allan told the Glasgow Evening Times.
"Being new I've only had a couple of games here but I love playing at Scotstoun, it's a great place to play.
"It will also be nice to have a weekend to do things, maybe catch up on a bit of sleep. Down in Wales we've been travelling a lot so it will be good to have some downtime.
"It's a very tight group here. We all pull together and are willing to work really hard for each other. There are a lot of activities off the park and it's a great group. Everyone seems to be enjoying it and I certainly am.
"It does help when you're winning but we're all happy to play for each other. That's what Glasgow is all about."
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