Summary: This paper deals with a haptotaxis system modeling oncolytic virotherapy with nonlinear sensitivity \[ \begin{cases} u_t = \Delta u - \nabla\cdot(u\chi(v)\nabla v) + \mu u(1-u) - uz, \quad & (x, t)\in \Omega\times (0, \infty), \\ v_t = -(u+w)v, & (x, t)\in \Omega\times (0, \infty), \\ w_t = \Delta w - w + uz, & (x, t)\in \Omega\times (0, \infty), \\ z_t = \Delta z - z - uz +\beta w, & (x, t)\in \Omega\times (0, \infty), \end{cases} \] under homogeneous Neumann boundary conditions in a smoothly bounded domain \(\Omega\subset\mathbb{R}^3 \), where \(\mu, \beta >0\) and \(\chi(v)\) is a nonlinear sensitivity. Firstly, we obtain the local well-posedness and global boundedness of solutions for the above system. Moreover, when \(\beta\in(0, 1) \), we can prove that the global solution \((u, v, w, z)\) exponentially stabilizes to the constant equilibrium \((1, 0, 0, 0)\) in the topology \(L^p(\Omega)\times(L^{\infty}(\Omega))^3\) with \(p>1\) as \(t \rightarrow \infty \).