Jones said on his radio show Tuesday that his quarterback has proven he can play with pain but won't if doctors advise against it.
The Cowboys (8-7) and Eagles (9-6) are playing Sunday night in Dallas' third straight season finale against an NFC East rival with the division title and a playoff berth on the line.
Romo was the starter in losses to the New York Giants two years ago and Redskins last season.
He injured his back in the fourth quarter of Sunday's 24-23 win at Washington. Kyle Orton is the backup.