hot on the trail
Very closely or aggressively following, pursuing, or tracking someone or something. Police are hot on the trail of two armed men who held up a liquor store late last night. Our top detective is hot on the trail, sir—we're going to find those stolen goods.
hot on the trail of (someone or something)
Very closely or aggressively following, pursuing, or tracking someone or something. Police are hot on the trail of two armed men who held up a liquor store late last night. Our top detective is hot on the trail of the stolen goods, sir.
hot on the trail (of someone, some creature, or something)
Fig. very close to finding or catching up with someone, some creature, or something. I am hot on the trail of the book that I have been seeking for months.