Will he be deported if he is nearly fixing papers and we're getting married?

Your question does not supply nearly enough information to provide a legal analysis or to determine an answer. This includes, for example, information about your own immigration status (Are you a U.S. citizen? Are you a Permanent Resident? Do you have some other status?); information about your fiance (How and when did he enter the U.S. What is his current immigration status? What immigration-related applications ever before have been filed by or for him?); Etc. There really is no substitute for you and your fiance to consult with an immigration attorney who, after learning all of the relevant information, could advise about eligibilities, options and strategies to attain your goals, and who then could offer legal representation in the often complex application process.