Hill has failed three drug tests since 2012, and he lost an appeal for the latest infraction. He will be eligible to return on Oct. 13.
Hill was suspended for violating the performance enhancers policy two years ago, missing four games. He then missed the first four matches last season because of a substance abuse violation.
The Giants are expected to release Hill when his latest suspension ends.
Hill has played in just 24 games since being signed in 2012 as an undrafted free agent. He had two interceptions, returning one for a TD, and played well late last season.
A New Jersey product, Hill had a solid college career at Florida, but was not drafted because of off-field concerns. Last December, he was arrested, and police said they detected an odor of marijuana, though no drug charges were brought against Hill.
New York seemed prepared for Hill not being available, signing and drafting several defensive backs this year.
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