Abbott (1-3) was tagged with the loss after he pitched 5.1 innings, allowing four runs on six hits while striking out seven in Sunday's 4-3 defeat to the Rangers.
Abbott (1-2) took the loss against the Mariners on Wednesday, surrendering two runs on four hits and three walks while striking out six over six innings.
Abbott will open the regular season in the Reds' rotation, Charlie Goldsmith of The Cincinnati Enquirer reports.
Reds manager David Bell said Monday that Abbott is competing with Brandon Williamson (shoulder) for the fifth spot in the rotation, C. Trent Rosecrans of The Athletic reports.
Abbott allowed three runs on seven hits and one walk while striking out five over three innings in Saturday's spring start against the Diamondbacks.
Abbott allowed four runs on seven hits and struck out two over three innings in Monday's spring start against the Athletics.
Abbott is battling with Nick Martinez and, to a lesser extent Brandon Williamson, for the Reds' fifth starter job, Charlie Goldsmith of The Cincinnati Enquirer reports.
Abbott struck out one over two scoreless innings in Monday's Cactus League start against Seattle.
Abbott is scheduled to make his first Cactus League start Monday in a split-squad game versus the Mariners, Mark Sheldon of MLB.com reports.
Abbott (8-6) took the loss Wednesday, allowing three runs on eight hits over 2.1 innings against Cleveland. He struck out one and did not walk a batter.