EMB-175 First Officer reported they were about to enter a taxiway they had not received clearance to enter when ATC instructed them to stop to avoid another aircraft on the taxiway.

Narrative

Landed Runway X in ZZZ; complied with taxi instructions [to] hold short Runway XX. Then received clearance cross Runway XX on Taxiway X contact ground. Once we crossed Taxiway X we were approaching Taxiway Y when ATC told us to slow down and stop right where we were as a B737 was approaching fast from the right on Taxiway Y. We were never told to hold short of Taxiway Y but had we not stopped there could have been an incident with the other aircraft.As the Captain and the one taxiing; I should have stopped sooner. The only reason I hadn't stopped yet at the point of ATC alerting us to the aircraft to our right was that I wanted to ensure I was clear of Runway XX. A momentary lack of situational awareness led me to not see the B737 approaching from my right.As the Captain I need to maintain the highest level of situational awareness during the entire taxi phase; specifically at taxi and runway intersections. A suggestion would be for ATC to tell us that there is an aircraft approaching from the right and we need to give way to them at Taxiway Y. Had ATC done that I would've stopped well short of the Taxiway Y intersection.