Probably not. The buprenorphine is the reason for potential precipitated withdrawals and not the Naloxone so if you did not experience PWs after taking 4mg of Bupre only, it is unlikely you will feel a difference with the Suboxone.
However, being addicted to low dose Subutex I felt a slight difference when I got Suboxone one time. Maybe placebo but it was enough to not feel completely saturated.
Try doing a fast taper (like 4mg/3/2/1/0,5) and not stay on it for longer than necessary. Bupre-Addiction is a bitch in itself.
How much Oxy did you take usually? It is possible that 4mg could be a little too much and that you would come along fine with 3 or even 2mg.