OP here. I can assure you all that there is nothing more than her calling to chit chat about work. She is very much an extrovert. She is not lonely, doesn’t have anything horrible going on in her life and she isn’t interested in him nor is he interested in her. They are work friends. I really do like her. I really wouldn’t if I thought at all that there were any feelings there besides friends. I can see how looking from the outside it might seem that way. I definitely would feel the same way if a male co-worker were calling him every night. It is just getting old. And like another poster said, she doesn’t know her boundaries. He doesn’t seem super enthused when she calls so I wouldn’t say he enjoys these daily phone conversations...Info someone asked for...she is married and has grown children just like we do. She seems very happy and secure in her marriage.
OK, I’m going to take everything you said as fact- nothing is going on, she’s not lonely, and so on.
If that is all true then I would advise your DH to be very wary of anything he says to a coworker who wants to gossip about work daily. That is a really toxic person.
Plus, remember that those who gossip TO you Also gossip ABOUT you.
I actually had a colleague who would call me about every two weeks to vent, ask advice (as I had previously been her mentor), etc... Even that got to be too much for me as I realized that she was a very negative person. I started letting any inconvenient call go to voicemail and cutting any call that turned gossipy or negative short. She got the message.
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and you have my apologies on that 
She did call on Saturday and Sunday. He let it go to VM on Saturday but she didn’t leave a message. On Sunday he answered. It was just chit-chat. Nothing about work at all. Not even gossip. I’m really tired of this. We have a really good relationship and talk to each other about everything. I don’t know why I am having a hard time discussing this with him.