We study the roles of the tensor and pairing correlations on the halo formation in 11 Li with an extended 9 Li+n+n model. We first solve the ground state of 9 Li in the shell model basis by taking 2p-2h states using the Gaussian functions with variational size parameters to take into account the tensor correlation fully. In 11 Li, the tensor and pairing correlations in 9 Li are Pauli-blocked by additional two neutrons, which work coherently to make the configurations containing the 0p 1/2 state pushed up and close to those containing the 1s 1/2 state. Hence, the pairing interaction works efficiently to mix the two configurations by equal amount and develop the halo structure in 11 Li. For 10 Li, the inversion phenomenon of s-and p-states is reproduced in the same framework. Our model furthermore explains the recently observed Coulomb breakup strength and charge radius for 11 Li.