Miller signed from Aberdeen for £500,000 after two impressive seasons with the Dons, as Strachan looked to strengthen his squad ahead of Boro's promotion push.
The 26-year-old has found his first team opportunities limited with five experienced players battling to start up front for Strachan, but the striker insists he will keep his head down and work hard to win his place.
Of course I want to be playing more games and, hopefully, next season there'll be a clean slate but until then, I'll continue to work hard to get into the manager's plans, said Miller.
Obviously the fans have yet to see me at my best and if I can get more games under my belt then hopefully I will be able to show the fans, manager and everybody what I can do.
Despite being at the club for less than three months the Lanarkshireborn forward is aware Boro have endured a difficult campaign, but he claims belief still remains that they can make the play-offs.
Miller said: It's been disappointing because with the players and the squad we've got we should be up in the play-offs at least, but it's still there for us and it's going to be an interesting run in and the squad still believe we can do it.
A tricky visit to the Hawthorns to face West Brom is next up for Boro on Saturday with the Baggies already promoted.
Obviously we've got some massive games coming up starting on Saturday but we're only four points away from the play-off places so I don't see why we can't do it, said the former Dundee and Hearts striker.
We will have to see what teams around us do, but if we win all our games we'll definitely be in there with a shout and that's what we're aiming to do.
Miller is already aware of the intensity of the Championship compared to the Scottish leagues but insisted Boro were a club equipped for Premier League football.
He said: The Scottish leagues are hard but down here it's a massive league and games come thick and fast both midweek and on Saturdays.
It's a very hard league to get out of with a massive bonus of getting into the Premier League and hopefully we can do that. We've got everything in place to be a Premier League club.