Poland wants a permanent U.S. military presence -- and is willing to pony up as much as $2 billion to get it, according to a defense ministry proposal obtained by Polish news portal Onet.

The Polish offer reflects a long-standing desire in Warsaw to build closer security relations with the U.S. and put American boots on the ground. The push dates back to Poland's entry into NATO in 1999, but has taken on added urgency in the wake of Russia's annexation of Ukraine's Crimea region four years ago and aggressive posture toward the alliance.

Coming just over a month before NATO leaders gather in Brussels for a summit, the Polish initiative is bound to anger Russia, and will be looked at with skepticism by European allies that want to improve relations with Moscow, such as Italy and at times Germany.