In MIMO wireless communications, spatial multiplexing can be employed to achieve a high data rate. However, its performance can be degraded by,spatial correlation between the transmit antennae. Hence, a simple closed-form linear precoder is proposed to improve performance when two transmit antennae are exploited at the transmitter. The proposed precoder rotates the constellation by a certain phase angle, which can be easily obtained from the correlation matrix of the channel. The simulation results show that the proposed algorithm can achieve near-optimal performance with remarkably reduced computational complexity due to the closed-form solution.