If the higher short circuit current is still within the rating of the switchgear, then it's no problem.
If the higher short circuit current exceeds the switchgear rating, then this is an NEC violation, based on strict interpretation. I don't think there is any exception for this. If a fault occurred as you closed the tie breaker, it could cause a catastrophic failure.
However, what you describe is commonly practiced, NEC violation or not.
We have worked on projects where the owner negotiated a variance with the local inspector to allow this practice. This generally requires automatic tripping after a fixed time delay to eliminate parallel condition and remote operation of the breakers, so that the operator is not required to be standing directly in front of the equipment.