wdwgranny, you asked a good question, that seems to have stirred up some controversy between the responders. Maybe the better links for you to check would be these, where attorneys answer your question.
Law Info
In this next link, the opening paragraph is:
Ordinarily, disability payments from other sources do not affect your Social Security disability benefits. But, if the disability payment is Workers Compensation or another public disability payment, you and your familys Social Security benefits may be reduced.
Then scroll down to the paragrah "What Payments Do Not Affect your Social Security Disability Benefits?". One of the payments that does not affect SSDI benefits is 'Private pensions or insurance benefits'.
Illinois Social Security Disability Assistance Center
.