That would certainly help.
That is what has been happening.
Domestic oil production climbing while crude oil imports are declining.
U.S. Field Production of Crude Oil
http://www.eia.gov/dnav/pet/hist/LeafHandler.ashx?n=PET&s=MCRFPUS2&f=M
U.S. Imports of Crude Oil
http://www.eia.gov/dnav/pet/hist/LeafHandler.ashx?n=PET&s=MCRIMUS2&f=M