The phrase "near upon" can be used to describe a situation where something is close in proximity or time. Some synonyms for "near upon" include "nearly," "almost," "approaching," "about," and "circa." These words can be used to convey a sense of proximity or immediacy in a situation. "Nigh," "close," and "proximate" are also appropriate alternatives when describing something that is physically close. Other options include "imminent," "impending," and "forthcoming," which suggest that something is about to happen or soon to occur. Ultimately, the choice of synonym will depend on the context of the sentence and the meaning one wishes to convey.