Exhibit 10.5


 


AMCI ACQUISITION CORP. II


 


600 Steamboat Road


 


Greenwich, CT 06830


 


August 3, 2021


 


AMCI Sponsor II LLC


600 Steamboat Road


Greenwich, CT 06830


 


Re: Administrative Services Agreement


 


Ladies and Gentlemen:


 


This letter agreement (this
 “Agreement”) by and among AMCI Acquisition Corp. II (the “Company”) and AMCI Sponsor
II LLC (the “Sponsor”), dated as of the date hereof, will confirm our agreement that, commencing on the date
the securities of the Company are first listed on The Nasdaq Capital Market (the “Listing Date”), pursuant
to a Registration Statement on Form S-1 and prospectus filed with the U.S. Securities and Exchange Commission (the “Registration
Statement”) and continuing until the earlier of the consummation by the Company of an initial business combination or the
Company’s liquidation (in each case as described in the Registration Statement) (such earlier date hereinafter referred to as the
 “Termination Date”):


 


1.             The
Sponsor shall make available, or cause to be made available, to the Company, at 600 Steamboat Road, Greenwich, CT 06830 (or any successor
location), office space and secretarial and administrative services as may be reasonably required by the Company. In exchange therefor,
the Company shall pay the Sponsor $10,000 per month on the Listing Date and continuing monthly thereafter until the Termination Date;
and


 


2.             The
Sponsor hereby irrevocably waives any and all right, title, interest, causes of action and claims of any kind as a result of, or arising
out of, this Agreement (each, a “Claim”) in or to, and any and all right to seek payment of any amounts due
to it out of, the trust account established for the benefit of the public stockholders of the Company and into which substantially all
of the proceeds of the Company’s initial public offering will be deposited (the “Trust Account”),
and hereby irrevocably waives any Claim it may have in the future as a result of, or arising out of, this Agreement, which Claim would
reduce, encumber or otherwise adversely affect the Trust Account or any monies or other assets in the Trust Account, and further agrees
not to seek recourse, reimbursement, payment or satisfaction of any Claim against the Trust Account or any monies or other assets in the
Trust Account for any reason whatsoever.


 


This Agreement constitutes
the entire agreement and understanding of the parties hereto in respect of its subject matter and supersedes all prior understandings,
agreements, or representations by or among the parties hereto, written or oral, to the extent they relate in any way to the subject matter
hereof or the transactions contemplated hereby.


 


This Agreement may not be
amended, modified or waived as to any particular provision, except by a written instrument executed by the parties hereto.


 


No party hereto may assign
either this Agreement or any of its rights, interests, or obligations hereunder without the prior written approval of the other party.
Any purported assignment in violation of this paragraph shall be void and ineffectual and shall not operate to transfer or assign any
interest or title to the purported assignee.


 






    


     


    

 


This Agreement constitutes
the entire relationship of the parties hereto, and any litigation between the parties (whether grounded in contract, tort, statute, law
or equity) shall be governed by, construed in accordance with, and interpreted pursuant to the laws of the State of New York.


 


[Signature Page Follows]


 






    2


     


    

 


	 	Very truly yours,




 


	 	AMCI ACQUISITION CORP. II




 


	 	By:	/s/ Nimesh Patel







	 	Name: Nimesh Patel
	 	Title: Chief Executive Officer




 


AGREED
AND ACCEPTED BY:


 


AMCI SPONSOR II LLC


 


	By:	/s/ Nimesh Patel	

	 	Name: Nimesh Patel	 
	 	Title: Sole Managing Member	 




 


[Signature Page to Administrative Services Agreement]