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I argue that superconductivity in the coexistence region with spin-density-wave (SDW) order in weakly doped Fe pnictides differs qualitatively from the ordinary s+− state outside the coexistence region as it develops an additional gap component which is a mixture of intrapocket singlet (s++) and interpocket spin-triplet pairings (the t state). The coupling constant for the t channel is proportional to the SDW order and involves interactions that do not contribute to superconductivity outside of the SDW region. I argue that the s+− and t-type superconducting orders coexist at low temperatures, and the relative phase between the two is, in general, different from 0 or π, manifesting explicitly the breaking of the time-reversal symmetry promoted by long-range SDW order.