Low key lovers (Good or Bad)

Monique
So me and my partner been talking for 4 1/2 months and he's more affectionate when we're home then we're outside. He makes me happy and always has me laughing but He doesn't consider this as a relationship and he doesn't want to be in one . But he always want me around Just to be next to him. Should I continue to be around him and be just company. Or let it go .