It appears as though Josh falls into the category of celebrities who are hesitant about the notion of sharing romantic endeavors. Throughout the duration of his time in the spotlight, Josh has not confirmed or even hinted at being in a relationship or even seeing anyone in particular casually. Although this doesn't necessarily mean that he has been devoid of romance, it simply indicates that Josh is better than most at hiding that side of himself.
He is extremely competitive and willing to do whatever it takes to solidify himself as a winner on The Challenge, so that may give some insight into how driven and motivated Josh is in general. These attributes may play into his favor if and when he decides to officially enter the dating pool, given how cutthroat dating amongst celebrities can prove to be at times.
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