There were plans I've seen for this project which include four lane-ing the crossing and Rte 4 down to Rte 235. I can't remember if it they were to 1) Build a replacement 4-lane span or 2) Build a parallel 2-lane span then rehab the existing bridge. Current MDOT site for this project (which doesn't seem to have been updated):
https://mdot-sha-md4-md2-to-md235-tj-brg-sm3515370-maryland.hub.arcgis.com/As far as four lane-ing to 235, what I remember is the ROW mostly already exists with minimal land acquisition required for this South/West of the base of the bridge. I'm not sure if it's related or separate, but there were also drawings for grade separating the 4/235 intersection.
I believe it was the old Maryland project site (I got the link from this site, and I had to go looking for these projects) but I remember seeing detailed drawings for the TJ Bridge/Rte 4 Calvert to Rte 235, and 3 or 4 options for the MD4/Suitland Parkway interchange.