depends on your birds, but I would have to say it's too risky
Normally I would not cage a conure and a lovebird together.Conures in general can seriously hurt other birds, the same size or smaller.
If a conure and a lovebird were raised together, there would be a better chance of them getting along,,,but there are no guarantees, and there is no guarantee they will get along once introduced, as they are new to each other.
I have many tame birds here, lovebirds, conures, cockatiels, senegal. some get along, some don't, all have separate cages, except for my 6 cockatiels which are housed in the same flight cage.
I would air on the side of caution, and see how it goes. Another conure would be better suited for yours, but a lovebird is a good choice as well. all my lovebirds and conures get along very very well, but again, are caged separately.