I replaced my water pump. My 2004 Fx35 burns engine oil.

What is your question?

After I replaced mu water pump on my 2004 FX35, the car consumes a quart of oil each month. The mechanic had the car longer than he quoted because he had to wait for a timing chain part. Is there a relationship between the timing chain and water pump which would cause my car to burn oil? I have put cardboard under the car to detect a oil leak. The car does not leak oil. The tail pipe is coated with a black carbon material. Thanks

What makes this problem better or worse?

oil replacement has increased

How long has your 2004 INFINITI FX35 had this problem?

a couple of years