We report on the effect of pressure on layered (La0.6Nd0.4)(1.2)Sr1.8Mn2O7 manganite. At pressures of about 1.9 GPa we observe an enhancement of magnetic and electronic interactions along the c axis. This enhancement is the result of the decrease in the inter-bilayer spacing and of the shift of the Mn atoms away from the center of each bilayer. The overall compressibility along the c axis is absorbed by a decrease in the inter-bilayer spacing while the distance between the apical oxygen atoms on the opposite sides of each bilayer remains almost unchanged.