08/03/2011 07:16 pm ET Updated Oct 03, 2011

Mel Gibson Demands MORE Daddy Time With Lucia

Mel Gibson wants more quality time with his little girl -- and in order to get it ... he's demanding a change to his child custody agreement with Oksana Grigorieva.

Sources connected to the former couple tell TMZ Mel has filed a request with the court ... for additional overnight visits with 1-year-old Lucia.

Under the current agreement ... Mel gets 3 overnights with Lucia every 2 weeks.

Read more on tmz.com