That may leave him doubtful for Wednesday’s trip to Perth and next week’s Old Firm game.
It would be a blow for Rangers as Naismith was influential as the visitors made a bright start to the first half with Lee McCulloch trying his luck from distance with a deflection taking the ball behind for a corner.
It was clear the Light Blues were relishing the action after an enforced two week break from football and Naismith was in fine form.
His energy levels were used along with the pace of Vladimir Weiss and Steven Whittaker’s versatility to form a potent three behind Miller.
With McCulloch and Davis forming a solid base behind that quartet the visitors quickly imposed themselves on the game.
It was Naismith who twice forced Walter Smith’s side forward in the early stages with a fine break after eight minutes allowing him to pick out McCulloch on the right.
The midfielder rolled the ball across the face of goal but Whittaker couldn’t get enough on it at the back post to trouble Randolph.
Naismith was at it again a minute later when his run was forcibly stopped and from the resulting free kick Weiss found McCulloch who headed wide.
Having signed a new deal with Gers last week Naismith was proving his worth as he twice came close to opening the scoring.
His header was cleared on to the top of the bar by Mark Reynolds as the pressure built on the Motherwell back line.
It was Keith Lasley who was next to the rescue as he cleared off the line as it looked like Naismith’s flick from a McCulloch knockdown was going to be the first counter.
Rangers were enjoying the best of the early spell, but they were served a warning on 20 minutes when Jamie Murphy cut in from the left to drill low past McGregor’s post.
It may well have been all the visitors needed to spur them on again as they took the lead just minutes later.
Madjid Bougherra stayed forward after a set piece and after exchanging passes with Naismith he picked out Miller’s intelligent run and the striker tucked home for a deserved opener.
The Light Blues looked rampant and Weiss might have helped add to things when he burst forward only to opt for Miller rather than Naismith when the latter was probably the better option.
However the little Slovakian made a telling contribution a minute later when his free kick caused confusion and Saunders turned in to his own net.
Rangers were then dealt the blow of losing Naismith, with seven minutes of the half left, but his replacement John Fleck might have killed the game in injury time in the first period.
Weiss took advantage of a slip to burst down the right and he picked out Fleck, but the 19-year-old couldn’t get enough on the ball to get it passed Randolph.
It looked like Rangers might live to regret that miss when, in the opening minutes of the second half a mix up between Weir and Bougherra allowed the home side back in.
It was substitute John Sutton, a first half replacement for Tom Hateley, who got on the end of the loose ball and bundled it beyond McGregor.
But if there were any nerves developing they were quickly seen off by a fine Rangers response.
Weiss, so often frustrating in recent outings, showed exactly what he is capable of by dancing clear of a couple of challenges on the edge of the box to open the space for a coolly finished shot that restored the two goal advantage.
And to ensure a comfortable final half hour Miller added yet another SPL goal to his season tally on the hour mark.
This time Weiss acted as supplier again, as a quickly taken free kick found the Gers No.9 who forced it home for 4-1.
From there Rangers were firmly in control and it gave Smith the opportunity to hand Jamie Ness his top team debut.