UNITED STATES

SECURITIES AND EXCHANGE COMMISSION

Washington, D.C. 20549

SCHEDULE 13D

Under the Securities Exchange Act of 1934

(Amendment No. 1)*

Culp, Inc.

(Name of Issuer)

Common Stock, par value $0.05 per share

(Title of Class of Securities)

230215105

(CUSIP Number)

Mill Road Capital III, L.P.

Attn: Thomas E. Lynch

328 Pemberwick Road

Greenwich, CT 06831

203-987-3500

With a copy to:

Peter M. Rosenblum, Esq.

Foley Hoag LLP

155 Seaport Blvd.

Boston, MA 02210

617-832-1000

(Name, Address and Telephone Number of Person Authorized to Receive Notices and Communications)

December 5, 2023

(Date of Event which Requires Filing of this Statement)

If the filing person has previously filed a statement on Schedule 13G to report the acquisition that is the subject of this Schedule 13D, and is filing this schedule because of §§240.13d-1(e), 240.13d-1(f) or 240.13d-1(g), check the following box.  ☒

Note: Schedules filed in paper format shall include a signed original and five copies of the schedule, including all exhibits. See §240.13d-7 for other parties to whom copies are sent.

The information required on the remainder of this cover page shall not be deemed to be “filed” for the purpose of Section 18 of the Securities Exchange Act of 1934 (“Act”) or otherwise subject to the liabilities of that section of the Act but shall be subject to all other provisions of the Act (however, see the Notes).

This Amendment No. 1 to the joint statement on Schedule 13D with respect to the common stock, par value $0.05 (the “Common Stock”), of Culp, Inc., a North Carolina corporation (the “Issuer”), filed by Thomas E. Lynch, Mill Road Capital III GP LLC, a Cayman Islands limited liability company, and Mill Road Capital III, L.P., a Cayman Islands exempted limited partnership (collectively, the “Reporting Persons”) on December 13, 2022 (such joint statement, as amended herein, the “Schedule 13D”), amends the Schedule 13D as follows:

(b)The business address of Mr. Lynch, Mr. Jacobs, Mr. Petito, and Mr. Yanagi, and the address of the principal business and the principal office of the Fund and the GP, is 334 Pemberwick Road, Second Floor, Greenwich, CT 06831.

(c)The principal business of the GP is acting as the sole general partner of the Fund. The principal business of the Fund is investing in securities. The present principal occupation or employment of each Manager is as a management committee director of the GP and Mill Road Capital Management LLC, a Delaware limited liability company (the “Management Company”), which provides advisory and administrative services to the GP and is located at 334 Pemberwick Road, Second Floor, Greenwich, CT 06831.

The Reporting Persons acquired beneficial ownership of an aggregate of 681,269 shares of Common Stock for $6,154,647.83 using working capital from the Fund and the proceeds of margin loans under margin loan facilities maintained in the ordinary course of business by the Fund with a broker on customary terms and conditions. The purchase price of shares acquired pursuant to the assignment of standard American-style, exchange-traded put options (“Put Options”) is not reduced by the premium received by the Reporting Persons upon sale of the Put Options.

(a, b) The percentages of beneficial ownership reported in this Item 5, and on each Reporting Person’s cover page to this Schedule 13D, are based on a total of 12,457,346 shares of Common Stock issued and outstanding as of September 5, 2023, as reported in the Issuer’s quarterly report on Form 10-Q for the fiscal quarter ended July 30, 2023. All of the share numbers reported below, and on each Reporting Person’s cover page to this Schedule 13D, are as of December 7, 2023, unless otherwise indicated. The cover page to this Schedule 13D for each Reporting Person is incorporated by reference in its entirety into this Item 5(a, b).

The Fund directly holds, and thus has sole voting and dispositive power over, 681,269 shares of Common Stock. The GP, as sole general partner of the Fund, also has sole authority to vote (or direct the vote of), and to dispose (or direct the disposal) of, these shares on behalf of the Fund, and Mr. Lynch has shared authority to vote (or direct the vote of), and to dispose (or direct the disposal) of, these shares on behalf of the GP.

Accordingly, each of the Reporting Persons beneficially owns 681,269 shares of Common Stock, or approximately 5.5% of the outstanding shares of Common Stock, and the Reporting Persons beneficially own, in the aggregate, 681,269 shares of Common Stock, or approximately 5.5% of the outstanding shares of Common Stock.

(c) No Reporting Person, other than the Fund as set forth in the table below and as described in Item 6, effected any transaction in shares of the Common Stock from October 8, 2023 (the date 60 days prior to the filing of this Schedule 13D) to December 7, 2023 (the “Reporting Period”):

The above listed transaction was conducted by the assignment of 142 standard American-style, exchange-traded call options resulting in the sale of 14,200 shares of the Issuer. The sale price does not reflect brokerage commissions paid.

The table below lists the standard American-style, exchange-traded call options (“Call Options”) sold by the Fund during the Reporting Period that are outstanding as of December 7, 2023. Each of the below listed transactions was conducted in the ordinary course of business on the open market for cash, and the sale prices do not reflect brokerage commissions paid.

Each of these Call Options gives the option’s counterparty the right (but not the obligation) to purchase from the Fund, on or before the option’s expiration date, the number of shares of Common Stock underlying the option, at a purchase price per share equal to the option’s strike price per share. If a Call Option is exercised on or before its expiration date, the Fund must deliver the shares of Common Stock underlying the option in exchange for the option’s aggregate exercise price.

Except as otherwise described in this Schedule 13D, including the Exhibits attached hereto, there are no contracts, arrangements, understandings or relationships (legal or otherwise) among the Reporting Persons, or between the Reporting Persons and any third party, with respect to any securities of the Issuer, including, but not limited to, those involving the transfer or voting of securities, finder’s fees, joint ventures, loan or option arrangements, puts or calls, guarantees of profits, division of profits or losses, or the giving or withholding of proxies.

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Signature

After reasonable inquiry and to the best of my knowledge and belief, I certify that the information set forth in this statement is true, complete and correct.