<human>: Could you distill the essence of the text into 1-3 sentences?

I'm in a new relationship and it's been going really well at least in terms of us. Since before we met, his father has been dying. It seems to have come to terms with it, but I was looking for tips on how to be more supportive. 

On a more selfish note, I am afraid that he will break up with me during the grieving process when it comes. I was in a three year relationship, and my ex broke up with me when his father died because his grief was preventing him from being capable of a relationship. I understood, but it was devastating, and I kind of have a hang-up about this. My current boyfriend has given no indication that he will do this, but because of my previous experience and the fact that our relationship is new (although very strong), I am gunshy and trying to protect myself from heartbreak. Any ideas how common a reaction this is, and if it can be mitigated?
<bot>: My boyfriend's father is dying. What can I do to both support my boyfriend and keep our relationship healthy during this time?