Some weak, collisionally induced transitions in 7 Li 2 have been recorded by Fourier transform spectrometry in the near infrared, following excitation of the 5d 1 Π g state by optical-optical double resonance. They have been assigned as transitions to the 1 1 Δ g state from levels v=0 and 1 of a new ungerade Rydberg state, 5p 1 Π u . Quantum defect considerations indicate that the principal quantum number for this new state is 5, and that the assignment to 5p is compatible with a Rydberg series of which the lowest members would be the B 1 Π u and C 1 Π u states.