Many would do so if they were simply asked to explore the subject. Remember that conversion is a long process, and not a single action. Becoming Jewish can be exciting and fun, but it is a decision that will require long-term support. Conversion, after all, means changing religion and joining a new people. Because a welcoming attitude is the most important contribution you can make, remember not to use any emotional pressure.
Conversion is a personal decision.
Each person thinking about it must carefully consider conversion. Instead of pressure, focus on showing love and humor, two vital Jewish qualities of special importance when dealing with conversion. Now, it's on to the specifics of how to discuss the subject of conversion. There are several steps for you to take. Consider why you think being Jewish is important, and, in particular, why being affiliated with Conservative Judaism matters to you.