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Aims: We seek to constrain the surface density of warm gas in the disk of HD 139614, a Herbig Ae star with a transition disk exhibiting a dust gap from 2.3 to 6 AU. Methods: We have obtained ESO/VLT CRIRES high-resolution spectra of CO ro-vibrational emission. We derived constraints on the disk's structure by modeling the line-profiles, the spectroastrometric signal, and the rotational diagrams using flat Keplerian disk models. Results: We detected v=1-0 12CO, 2-1 12CO, 1-0 13C","authors_text":"A. Carmona, A. K\\'osp\\'al, A. Liebhart, A. Matter, A. Sicilia-Aguilar, C. Baldovin-Saavedra, C. Baruteau, C. Eiroa, C. Pinte, G. Meeus, I. Kamp, L.A. Cieza, M. Audard, M. G\\\"udel, M. van den Ancker, P. Pinilla, Th. Henning, W.F. Thi, Zs. 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