Working on L1B when H1B is approved


We are on L1B with an Indian IT company and got our H1B approved this yr effective from 1st October,2013.But,the consultant is yet to find a job for us.So,until then can we still work with the same company on L1B?Are there any legal issues for this? L1B will expire in Dec 2013 and we have I-94 till Aug 2015.