"We are partnered this week at 12 and 13, so it will be good," he said. "I think it's the first time I've played a combination with Huw so I'm actually really excited.
"We get along fine off the field, so it's good."
He added: "He's a really nice guy and we have the same sort of sense of humour so there's nothing but love (between us)."
After pushing himself into the Scotland set-up over the past year, Grigg is hoping to push his case for game time in the upcoming Six Nations and is working hard to improve his game.
He said: "I want to perform for Glasgow and get those wins under our belt, but I also want to perform for the Six Nations coming up and hopefully I can get my foot in the door again and get a shot."
On his competition in the centres, he added: "It (the position) is rich with talent, so I know what I have to do and what I have to work on.
"Over the autumn tests, he (head coach Gregor Townsend) was big on my defence and making sure my attack is going well, but keeping the tackle percentage up throughout the game."
Stuart Hogg hopes to return from a hip injury in the next couple of weeks, giving Scotland a boost ahead of next month's Six Nations championship.
The full-back suffered the injury in the warm-up ahead of Scotland's autumn international victory over Australia in November.
Glasgow's Leonardo Sarto has been linked with a move to English Premiership side Bath. The Rugby Paper claims Bath are keen to secure the services of the Italian winger when his contract at Scotstoun ends in May.