The Gers striker was struck down by a hamstring injury against Hamilton.
The 26-year old went off injured late on in Saturday’s 1-1 draw with Hamilton but Warbuton is hopeful the injury won’t keep the prolific striker out for too long.
"He's having a scan (on Tuesday). He's recovering well, hopefully,” said the Gers boss. "Whether it was nerve-related, we will have to wait and see.
Rangers manager Mark Warburton
"You can't tell but he certainly feels a lot more comfortable last couple of days than immediately after the incident, so hopefully it has calmed down. If it was spasm-related then we will find out."
Waghorn has proved a major hit at Ibrox since his arrival from Wigan Athletic last summer and demonstrated that he intends to continue his excellent scoring record in the top flight with a well-taken strike against the Accies.
Rangers manager Mark Warburton with Martyn Waghorn
The powerful attacker was picked out in the box by a sublime Harry Forrester ball and slotted home under Remi Matthews with a first-time finish.
His goal brought Rangers level after Ali Crawford had shocked the home crowd with an excellent solo effort, but fans feared the worse when he pulled up clutching his hamstring in the final stages.
Warburton’s men would have had a far better chance of turning one point into three had Waghorn still been on the pitch but they were forced to see out the game with ten men after all three substitutes had been deployed.