Mallinson will assume publishing duties previously held by James Carter, the former FHM publishing director hired by Dennis to lead new product development last year.
After developing and launching Monkey in November, Carter left Dennis to become a founding executive of start-up Factory Media, which specialises in extreme sports magazines and websites.
Mallinson's remit will cover only the development of Monkey, rather than any further launches.
Carter was understood to have had several projects in development, including a magazine targeting older men.
Ben Raworth, Dennis' new product development editor, will continue to develop projects with the publisher's commercial and publishing teams.