That's a tricky one you have there. The one or two inches worries me the most. Has the sewer pipe actually been exposed and shot in, so you are certain? If based on as-built or design drawings, who knows what your separation really will be, might be even less, or worse, conflicting.
The City of Dallas (Water/Wastewater Department) has a detail for exactly this situation. You can find it in their Standard Drawings for Water and Wastewater Construction, detail 'Encasement Protection for Wastewater Main', pp 414.
Basically it calls for a steel or D.I. pipe encasement of the sanitary line, keyed in 3' minimum past storm trench, everything backfilled with crushed rock. The wastewater line within the encasement is replaced, and reconnected with a pressure rated coupling at the new connection points.
Another thing you might look at is a 'Utility Support' (Same reference as above, pp 121) Basically it proposes vertical colums, supported by footers, and connected at the top by a horizontal beam. About 12" square concrete with plenty of rft all around.
Essentially you would create two supports either end of the storm pipe to hold it up, then backfill around it. You'll have to look at your soils for bearing pressure and potential settlement with the tolerance you have.
You could create your own type of design too. Install two concrete monstrosities either side of the sewer and set the new storm pipe on them.
Be prepared for your backup plan if it turns out you really have a utility conflict. After all is said and done, I would call for a TV inspection of sewer to verify no crushing or belly caused by settlement.
Hope this helps, good luck.