After the landmark discovery of non-zero theta _{13} by the modern reactor experiments, unprecedented precision on neutrino mass-mixing parameters has been achieved over the past decade. This has set the stage for the discovery of leptonic CP violation (LCPV) at high confidence level in the next-generation long-baseline neutrino oscillation experiments. In this work, we explore in detail the possible complementarity among the on-axis DUNE and off-axis T2HK experiments to enhance the sensitivity to LCPV suppressing the theta _{23}-delta _{textrm{CP}} degeneracy. We find that none of these experiments individually can achieve the milestone of 3sigma LCPV for at least 75% choices of delta _{textrm{CP}} in its entire range of [-180^{circ }, 180^{circ }], with their nominal exposures and systematic uncertainties. However, their combination can attain the same for all values of theta _{23} with only half of their nominal exposures. We observe that the proposed T2HKK setup in combination with DUNE can further increase the CP coverage to more than 80% with only half of their nominal exposures. We study in detail how the coverage in delta _{textrm{CP}} for ge 3sigma LCPV depends on the choice of theta _{23}, exposure, optimal runtime in neutrino and antineutrino modes, and systematic uncertainties in these experiments in isolation and combination. We find that with an improved systematic uncertainty of 2.7% in appearance mode, the standalone T2HK setup can provide a CP coverage of around 75% for all values of theta _{23}. We also discuss the pivotal role of intrinsic, extrinsic, and total CP asymmetries in the appearance channel and extrinsic CP asymmetries in the disappearance channel while analyzing our results.