Exhibit 5.1
Jodie Bourdet
+1 415 693
2054
jbourdet@cooley.com
February 20, 2025
CS Disco, Inc.
111 Congress Ave.
Suite 900
Austin, Texas 78701
Re: Registration on Form S-8
Ladies and Gentlemen:
We have acted as counsel to CS Disco,
Inc., a Delaware corporation (the Company), in connection with the filing of a Registration Statement on Form S-8 (the Registration Statement) with the
Securities and Exchange Commission (the Commission), covering the offering of up to 3,619,754 shares (the Shares) of the Companys common stock, par value $0.005 per share (Common
Stock) consisting of (a) 3,016,462 shares of Common Stock issuable pursuant to the Companys 2021 Equity Incentive Plan (the 2021 EIP) and (b) 603,292 shares of Common Stock issuable pursuant to the
Companys 2021 Employee Stock Purchase Plan (together with the 2021 EIP, the Plans).
In connection with this opinion, we
have examined and relied upon (a) the Registration Statement and the related prospectuses, (b) the Companys certificate of incorporation and bylaws, each as currently in effect, (c) the Plans and (d) such other records,
documents, opinions, certificates, memoranda and instruments as in our judgment are necessary or appropriate to enable us to render the opinion expressed below. We have assumed the genuineness of all signatures, the authenticity of all documents
submitted to us as originals, the conformity to originals of all documents submitted to us as copies, the accuracy, completeness and authenticity of certificates of public officials and the due authorization, execution and delivery of all documents
by all persons other than the Company where due execution and delivery are prerequisites to the effectiveness thereof. As to certain factual matters, we have relied upon a certificate of an officer of the Company and have not independently verified
such matters.
Our opinion is expressed only with respect to the General Corporation Law of the State of Delaware. We express no opinion to the extent
that any other laws are applicable to the subject matter hereof and express no opinion and provide no assurance as to compliance with any federal or state securities law, rule or regulation.
On the basis of the foregoing, and in reliance thereon, we are of the opinion that the Shares, when sold and issued in accordance with the Plans, the
Registration Statement and the related prospectuses, will be validly issued, fully paid, and nonassessable (except as to Shares issued pursuant to deferred payment arrangements, which will be fully paid and nonassessable when such deferred payments
are made in full).
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