  We theoretically predict proximity-induced odd-frequency (odd-$\omega$)
pairing on the surface of a Weyl nodal loop semimetal, characterized by a nodal
loop Fermi surface and drumhead-like surface states (DSSs), attached to
conventional spin-singlet $s$-wave superconducting leads. Due to the complete
spin polarization of the DSS, odd-$\omega$ equal-spin triplet pairing is
present, and we show that it gives rise to a finite Josephson current. Placing
an additional ferromagnet in the junction can also generate odd-$\omega$
mixed-spin triplet pairing, but the pairing and current is not affected if the
magnetization is orthogonal to the DSS spin-polarization, which further
confirms the equal-spin structure of the pairing.
