TOKYO—A top executive at Japanese videogame maker Nintendo Co. has expressed concerns about introducing virtual-reality products, a likely sign that it won’t include the technology in its next-generation console, code-named “NX,” when it is released in March.

Virtual reality, which offers users an immersive visual experience through head-mounted displays, is made to be used for short periods because of health concerns, including possible headaches and nausea. It isn’t recommended for small children, one of Nintendo’s main...