Jamieson, Fausset and Brown on Hebrews 7:27

27. daily--"day by day." The priests daily offered sacrifices (He 9:6; 10:11; Ex 29:38-42). The high priests took part in these daily-offered sacrifices only on festival days; but as they represented the whole priesthood, the daily offerings are here attributed to them; their exclusive function was to offer the atonement "once every year" (He 9:7), and "year by year continually" (He 10:1). The "daily" strictly belongs to Christ, not to the high priests, "who needeth not daily, as those high priests (year by year, and their subordinate priests daily), to offer," &c.

offer up--The Greek term is peculiarly used of sacrifices for sin. The high priest's double offering on the day of atonement, the bullock for himself, and the goat for the people's sins, had its counterpart in the TWO lambs offered daily by the ordinary priests.

this he did--not "died first for His own sins and then the people's," but for the people's only. The negation is twofold: He needeth not to offer (1) daily; nor (2) to offer for His own sins also; for He offered Himself a spotless sacrifice (He 7:26; He 4:15). The sinless alone could offer for the sinful.

once--rather as Greek, "once for all." The sufficiency of the one sacrifice to atone for all sins for ever, resulted from its absolute spotlessness.