Wrapped Tight is an album by the American jazz saxophonist Coleman Hawkins of performances recorded in 1965 for the Impulse!

[1] In his review at AllMusic, Scott Yanow gave the album 4 stars, writing, "Hawkins's last strong recording finds the veteran, 43 years after his recording debut with Mamie Smith's Jazz Hounds, improvising creatively on a wide variety of material... [showing] that the tenor-saxophonist was still coming up with new ideas in 1965.

"[2] A reviewer for Billboard commented: "Manny Albam's arrangements guide the larger group with swinging style and grace.

"[6] Writing for Life, Carter Harman called the album "another anthology of wonderful standards," and noted that it "proves that the tenorman, in his 40th year of fame, can still compete favorably with the younger crowd on their own terms.

"[7] A writer for Negro Digest stated that the album "drives home a lesson sorely needed in the often cultist world of jazz: that genuine artistry is a thing of its itself, transcending the superficialities of form, style and vogue.