Robinson was taken to hospital during his side's 2-1 friendly win over Dinamo Bucharest in Leigh on Sunday after being on the end of a strong challenge.
A club statement read: "Despite initial fears that a serious knock had occurred, an X-ray has revealed heavy bruising near the shin but no fracture."
Hearts head coach Robbie Neilson added: "It's a big relief that there isn't more serious damage to Scott's leg.
"He felt it was a bad one and, to be fair, at the time it looked bad because of the size and speed of the swelling.
"But that's why we got him checked out straight away. He'll have to rest if for a couple of days but we don't anticipate him being out for any length of time."