Infiltrating Lipoma in Right Lower Back Muscle.

There is a variant of the common lipoma which is called an infiltrating angiolipoma. The fact that you describe you lipoma as infiltrating leads me to think that you have had an MRI indicating that you have this type of tumor.
The infiltrating angiolipoma usually affects the area around the vertebrae, and sometimes the lower extremities (besides the well known angiolipoma of the kidneys).
Or you may have a more cellular variety of the common lipomas which can infiltrate into the muscle. Clinically, they can be differentiated by tenderness: the infiltrating angiolipoma can be quite painful while the regular lipoma which is infiltrating into the muscle is not.
The surgeon will most likely have to sacrifice some of your muscle to ensure total resection of your lesion. If this is done adequately, you will not have a recurrence.
I agree with Dr. Rand, that the sooner the better. It will be easier on both you and your surgeon.
Incidentally, I had a very cellular lipoma removed from my left shoulder about twenty years ago. Mine had infiltrated into the muscle and I use its removal as an excuse for my failure to develop prodigious muscles like that other Arnold.

Definitely do not consider liposuction for what you have.  A preop CT scan or MRI can determine if there is muscle infiltration or not.  An open surgical excision by an experienced surgeon is required and the relatively sooner the better so it doesn't continue to grow.