The evolution of magnetic correlation in strongly correlated electron systems with altermagentic spin splitting remains largely unexplored. Here we investigate how spin splitting generated by spin-dependent next-nearest-neighbor hopping $t^{\prime }$ reshapes the Fermi surface nesting and Van Hove singularities in the two-dimensional square-lattice Hubbard model, leading evolution of magnetic instabilities. Using the constrained-path quantum Monte Carlo method, we find the dominant magnetic correlation as functions of the filling and $t^{\prime }$ by computing the momentum-resolved spin structure factor. The analysis reveals a transition from antiferromagnetic $(\pi ,\pi )$ order in the isotropic, half filled system to noncollinear spiral $(\pi ,q)$ order upon increasing the spin-dependent anisotropy or doping away from half filling, ultimately entering a short-range correlation regime where stripe and spiral correlation coexist. These findings highlight a possible route to realizing spiral correlation in altermagnetic systems, potentially providing a platform for spintronic devices that exploit noncollinear spin textures.

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• Magnetic phase transitions
• Magnetism
• Spin dynamics