B737 flight crew reported a runway incursion elected to continue takeoff to avoid aircraft.

Attributes
ACN	1675920
Time
Date	201908
Local Time Of Day	1201-1800
Place
Locale Reference	ZZZ.Airport
State Reference	US
Environment
Light	Daylight
Aircraft 1
Make Model Name	B737 Undifferentiated or Other Model
Operating Under FAR Part	Part 121
Flight Phase	Takeoff
Flight Plan	IFR
Aircraft 2
Make Model Name	B777 Undifferentiated or Other Model
Flight Phase	Taxi
Person 1
Function	Captain Pilot Flying
Qualification	Flight Crew Instrument Flight Crew Air Transport Pilot (ATP) Flight Crew Multiengine
Experience	Flight Crew Last 90 Days 310
Person 2
Function	First Officer Pilot Not Flying
Qualification	Flight Crew Air Transport Pilot (ATP) Flight Crew Instrument Flight Crew Multiengine
Experience	Flight Crew Last 90 Days 423 Flight Crew Type 2948
Events
Anomaly	ATC Issue All Types Conflict Ground Conflict Critical Deviation - Procedural Clearance

Narrative:

Prior to being cleared for takeoff on xxl; we heard (other carrier) landing on xxr given instructions to hold short of xxl. We were cleared for takeoff and commenced our takeoff on xxl. At approximately 10-15 knots prior to V1; we heard the tower controller give very animated and loud instructions to the (other carrier) aircraft. '(Other carrier) stop stop stop! Hold your position (other carrier) stop stop stop!!' the tower controller then switched his attention to us and gave us the verbal instruction to abort our takeoff. I can't remember the exact wording but it was similar to '(call sign) cancel takeoff clearance.' I was unsure how much the (other carrier) aircraft had actually encroached on xxl (if any); but it appeared that they had exited xxr at 'aa' and had encroached on xxl at that intersection. Rapidly evaluating our speed; it was my judgement that a rejected takeoff by my aircraft would have us come to a stop in close proximity to 'aa'; if not potentially impact the intruding aircraft. I was confident in our ability to become airborne prior to that point and elected to continue the takeoff. I verbalized 'no; continue' to the first officer who did not respond to ATC. Take off; clean up and departure were all normal. Flight number was substituted therefore we were (company call sign) and ATC XXXX. I didn't select any threats as I still don't know to what extent the (other carrier) aircraft actually encroached on the runway I was using. I do not know if they made an error or not. The ZZZ controller(s) were superb in their vigilance and handling of the event.

Original NASA ASRS Text

Title: B737 flight crew reported a runway incursion elected to continue takeoff to avoid aircraft.

Narrative: Prior to being cleared for takeoff on XXL; we heard (other carrier) landing on XXR given instructions to hold short of XXL. We were cleared for takeoff and commenced our takeoff on XXL. At approximately 10-15 knots prior to V1; we heard the tower controller give very animated and loud instructions to the (other carrier) aircraft. '(other carrier) stop stop stop! Hold your position (other carrier) stop stop stop!!' The Tower Controller then switched his attention to us and gave us the verbal instruction to abort our takeoff. I can't remember the exact wording but it was similar to '(call sign) cancel takeoff clearance.' I was unsure how much the (other carrier) aircraft had actually encroached on XXL (if any); but it appeared that they had exited XXR at 'AA' and had encroached on XXL at that intersection. Rapidly evaluating our speed; it was my judgement that a rejected takeoff by my aircraft would have us come to a stop in close proximity to 'AA'; if not potentially impact the intruding aircraft. I was confident in our ability to become airborne prior to that point and elected to continue the takeoff. I verbalized 'no; continue' to the First Officer who did not respond to ATC. Take off; clean up and departure were all normal. Flight number was substituted therefore we were (company call sign) and ATC XXXX. I didn't select any threats as I still don't know to what extent the (other carrier) aircraft actually encroached on the runway I was using. I do not know if they made an error or not. The ZZZ controller(s) were superb in their vigilance and handling of the event.

Data retrieved from NASA's ASRS site and automatically converted to unabbreviated mixed upper/lowercase text. This report is for informational purposes with no guarantee of accuracy. See NASA's ASRS site for official report.