Narrative:

Flight was the first leg of a 2 leg day; pbi to ZZZ. The weather was 2000 ovc; with light easterly winds. Pushback and taxi to rw 10L were uneventful. Tower cleared a 737 for takeoff ahead of us. Then we were instructed to line up and wait. Noticing convective activity and while holding in position on 10L; the captain and first officer called up the weather radar and noticed a few radar returns (threat). As I recall; these appeared predominantly to the left of centerline.the jet; which was cleared for takeoff ahead of us; was given a left turn (north) into the returns. We communicated to each other that tower should not have cleared the jet into the convective activity (verbalize; monitor). Our plan was avoidance; which meant that it was possible we might have to delay the turn to assure not flying through it (should the tower issue the same left turn clearance).the flight was cleared for takeoff along with a left turn to north. The captain pushed up the power and we began the takeoff roll. As we were rolling down the runway; first officer recalls giving a curtesy advisory (heads up) to the tower that; the flight may need to delay the turn. At some point after this; (I don't recall the speed; while crosschecking engine instruments and runway centerline; tower issued a cancel takeoff clearance. The captain; who was the PF; made the decision to continue. My gut feeling at the time was it was the right call and likely the safest course of action. The rest of the takeoff was uneventful and the flight complied with the assigned heading on departure (convective weather no factor).the captain and first officer debriefed and both agreed it would have been better for the first officer to remain quiet (not make the advisory radio call) with ATC during the takeoff roll so as to completely eliminate the risk of confusing the tower controller (error management). I think it would have worked out better to state our intentions after becoming airborne.

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Original NASA ASRS Text

Title: Air carrier flight crew reported continuing their takeoff after ATC issued a clearance to cancel their takeoff.

Narrative: Flight was the first leg of a 2 leg day; PBI to ZZZ. The weather was 2000 OVC; with light easterly winds. Pushback and taxi to RW 10L were uneventful. Tower cleared a 737 for takeoff ahead of us. Then we were instructed to line up and wait. Noticing convective activity and while holding in position on 10L; the Captain and FO called up the weather radar and noticed a few radar returns (threat). As I recall; these appeared predominantly to the left of centerline.The jet; which was cleared for takeoff ahead of us; was given a left turn (north) into the returns. We communicated to each other that Tower should not have cleared the jet into the convective activity (verbalize; monitor). Our plan was avoidance; which meant that it was possible we might have to delay the turn to assure not flying through it (should the tower issue the same left turn clearance).The flight was cleared for takeoff along with a left turn to north. The Captain pushed up the power and we began the takeoff roll. As we were rolling down the runway; FO recalls giving a curtesy advisory (heads up) to the tower that; the flight may need to delay the turn. At some point after this; (I don't recall the speed; while crosschecking engine instruments and runway centerline; tower issued a cancel takeoff clearance. The captain; who was the PF; made the decision to continue. My gut feeling at the time was it was the right call and likely the safest course of action. The rest of the takeoff was uneventful and the flight complied with the assigned heading on departure (convective weather no factor).The Captain and FO debriefed and both agreed it would have been better for the FO to remain quiet (not make the advisory radio call) with ATC during the takeoff roll so as to completely eliminate the risk of confusing the tower controller (error management). I think it would have worked out better to state our intentions after becoming airborne.

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.