We construct α-attractor versions of hybrid inflation models. In these models, the potential of the inflaton field ϕ is uplifted by the potential of the second field χ. This uplifting ends due to a tachyonic instability with respect to the field χ, which appears when ϕ becomes smaller than some critical value ϕ c . In the large N limit, these models have the standard universal α-attractor predictions. In particular, n s = 1 − 2 N for the exponential attractors. However, in some special cases the large N limit is reached only beyond the horizon, for N 60. This may change predictions for the cosmological observations. For any fixed N , in the limit of large uplift V up , or in the limit of large ϕ c , we find another attractor prediction, n s = 1. By changing the parameters V up and ϕ c one can continuously interpolate between the two attractor predictions n s = 1 − 2 N and n s = 1.