No, I don't believe that this can happen.  The reason is that warfarin does not dissolve a clot.  Warfarin stops a clot from forming or getting bigger and nothing else.  Dissolved in the blood, there is a substance called fibrinogen.  When a clot forms a chemical reaction takes place that causes the dissolved fibrinogen to change to a stringy substance called fibrin.  The fibrin can be thought of as tying the clot together.  The only effect warfarin has is to stop the reaction of changing fibrinogen to fibrin.  It has absolutely no dissolving effect.  That warfarin dissolves a clot is a popular misconception that even your doctor may have told you, but it just does not happen.