Although Celebrex does reduce the incidence of GI bleeding, it is certainly possible that it can affect the INR and/or increase bleeding risk. It is recommended that close monitoring by your physician (both for bleeding and an increased INR) be enforced if you intend to use Coumadin with Celebrex.
You may want to consider another class of medication if this combination is not feasible - including Ultram or Ultracet.
You may want to discuss these options with your personal physician.
Followup with your personal physician is essential.
This answer is not intended as and does not substitute for medical advice - the information presented is for patient education only. Please see your personal physician for further evaluation of your individual case.
Kevin, M.D.
Medical Weblog:
kevinmd_b