We report a pressure effect on CeCu2(Si0.98Ge0.02)(2) where an anti ferromagnetic order below T-N similar to 0.75 K coexists with superconductivity below T-c similar to0.4 K. At pressures exceeding 0.56 GPa, the magnetic order is suppressed and concomitantly the unconventional superconducting state evolves into a typical heavy-fermion one with a line-node gap. This result demonstrates that the magnetic order is due to the lattice expansion caused by doping Ge. We remark that the characteristic feature of exotic coexisting state at ambient pressure is the persistence of low-lying magnetic excitations even in the superconducting state. (C) 2002 Elsevier Science B.V. All rights reserved.