In our ongoing search for close and faint companions around T Tauri stars in the Chamaeleon star-forming region , we recently ( Schmidt et al . 2008b ) presented direct observations and integral field spectroscopy of a new common proper motion companion to the young T-Tauri star and Chamaeleon member CT Cha and discussed its properties in comparison to other young , low-mass objects and to synthetic model spectra from different origins . We now obtained for the first time direct H-Band observations of the companion CT Cha b and of another faint companion candidate ( cc2 ) approximately 1.9 arcsec northeast of CT Cha using the Adaptive Optics ( AO ) instrument Naos-Conica ( NACO ) at the Very Large Telescope ( VLT ) of the European Southern Observatory ( ESO ) in February 2008 . From these data we can now exclude by 4.4 & 4.8 \sigma that CT Cha b is a non-moving background object and find cc2 to be most likely a background star of spectral type \leq K4 with a proper motion of \mu _ { \alpha } \cos { \delta } = -8.5 \pm 5.7 mas/yr and \mu _ { \delta } = 12.0 \pm 5.6 mas/yr , not consistent with being a member of the Cha I star-forming region .