Los Angeles - Gabriel Aubry will reportedly be stopped from visiting his daughter unsupervised.
The model is currently being investigated for misdemeanour battery and child endangerment following an alleged altercation with three-year-old Nahla's nanny.
The Los Angeles County Department of Children and Family Services (DCFS) are to recommend that the youngster's mother Halle Berry retains primary custody of the little girl, while Gabriel cannot spend time alone with the tot.
A source told RadarOnline.com: "Social workers have recommended that Halle maintain primary custody of Nahla. Nahla spends most of her time with her mother. DCFS has also made a new recommendation that Gabriel not be alone with Nahla."
"Case workers are recommending that a nanny be present with Gabriel during his visitation times. Halle's nanny had been with Nahla when Gabriel had his custodial time from noon until she went to sleep.
"However, after the alleged incident between the nanny and Gabriel, that hasn't been in place, and he has been alone with Nahla. It will be up to the judge to implement the recommendations."
Gabriel - who vehemently denies pushing nanny Alliance Kamden while she was holding Nahla - is said to be unhappy with the recommendation.
The source added: "Gabriel is fighting having another person with him, he feels that Halle is trying to make his time with their daughter as uncomfortable as possible."
Last month, Halle went to court to ask for her 36-year-old ex-boyfriend to be prevented from having joint custody of Nahla, but no change was made to their existing agreement.