Air carrier pilot reported aircraft veering to the side of the runway during the landing rollout. The crew was able to stop the aircraft prior to going off the runway.

Narrative

Departure; climb; cruise; descent; and approach was conducted without incident. I was PF (Pilot Flying) landing in ZZZ. Conditions on landing were normal with a dry Runway and light right crosswinds. After touchdown I applied light braking pressure but I did not increase reverse thrust as it was a long Runway and I wanted reduce engine cycles. I was left of the centerline so I provided light right rudder to bring us back on centerline. The aircraft continued to slow on centerline. At 80kts; the Captain called that they had the brakes and I called that I had the tops. At this point I removed my feet from rudder pedals and continued to hold the control wheel. Shortly after the transfer of controls; the aircraft started veering to the left as if it was going to exit the Runway. The Captain called for the steering trigger and I clicked it three times. It still appeared we were going to exit the Runway so I got back on the brakes to assist in stopping the aircraft. Fortunately we stopped before a Runway excursion occurred. Tower called for the traffic behind to go around. At this time we noted an EICAS message RUDDER INOP and assessed the situation while stopped on the Runway. The Captain then checked to insure that the tiller was working and we determined that we could still steer with the tiller. At that time; we opted to slowly taxi off the Runway and were able to taxi to the gate under our own power. We noted a continuous mechanical clicking noise below and behind us as we taxied into the gate. At the gate we called dispatch and maintenance to inform them while the Captain wrote up the discrepancy. No exterior damage was noted to the aircraft after post-flight walk around.We could have reacted quicker to the inadvertent condition on the rudder and I could have attempted to steer the aircraft with my rudders to keep us on centerline as I had normal control of the aircraft prior to swapping aircraft controls. Additionally prior to taxiing off the Runway we could have kept the parking break on and run the QRH for the EICAS RUDDER INOP.