cautiously
adverb uk/ˈkɔː.ʃəs.li/ us/ˈkɑː.ʃəs.li/
cautiously optimistic 持谨慎乐观态度地
feeling that there are some reasons to hope for a good result, even if you do not expect complete success or improvement
He said he was cautiously optimistic, predicting some growth in the new year. 他说，他持谨慎的乐观态度，预测新的一年会有一些增长。
We are cautiously optimistic about our prospects of winning the case. 我们对胜诉的前景持谨慎的乐观态度。
She remains cautiously optimistic about the company's future.
A spokesperson sounded cautiously optimistic that an agreement could be reached.
The legislation doesn't contain the sweeping changes we had hoped for, but I'm cautiously optimistic.
I would describe us as feeling cautiously optimistic about the situation.
See: cautious