The defender signed on the dotted line to become the ninth addition to the Sky Blues' squad this summer...
The 23-year old signed a two-year deal after leaving Championship outfit Fulham, following spells on loan at Port Vale and more recentley Shrewsbury Town.
Grimmer admitted his delight as the deal was confirmed, and targeted an immediate return to the third tier this season.
He said: "As soon as I met the manager and the backroom staff I knew it was a place I wanted to come and play - They made me feel wanted.
"I've settled in very well actually, sometimes you're never sure how you'll settle but the reception from the fans have been amazing and the players have welcomed me with open arms.
"Everyone is pushing for the same goal, I've been part of a promotion season in League Two with Shrewsbury so I want to take that experience and help here at Coventry."
Following the draw for the Checkatrade Trophy group stages, The Sky Blues will be facing the Shrews in Group E, with Grimmer returning to face his former club.
"One of the things that stood out for me was the goals set by the manager and the club as a whole, not just for this season but also in the future.
"It's a club that should never be in the position that it is, but unfortunately that is the situation. It is definitely time to give something back to the fans.
On the Checktrade Trophy draw, he added: "That's brilliant, I didn't know that actually. That is the way football works to be honest, I've found that out recentley so I'm looking forward to that."