<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0202</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2005-11-14</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001022705</issuerCik>
        <issuerName>TESCO CORP</issuerName>
        <issuerTradingSymbol>TESOF</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001218321</rptOwnerCik>
            <rptOwnerName>OSS CAPITAL MANAGEMENT</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>598 MADISON AVENUE</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10022</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2005-11-14</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>P</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>42600</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>16.08</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>3644600</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See Footnote (1)</value>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <remarks>O.S.S. Capital Management LP, a Delaware limited partnership (the &quot;Investment Manager&quot;), serves as (i) investment manager to
 a Cayman Islands exempted company and (ii) management company to two Delaware limited partnerships (collectively with the
 Cayman Islands exempted company, the &quot;Funds&quot;) and has investment discretion with respect to securities held by the Funds.
 Schafer Brothers LLC, a Delaware limited liability company (the &quot;SB LLC&quot;), serves as the general partner to the Investment
 Manager, and has investment discretion with respect to securities held by the Funds. Mr. Oscar S. Schafer (&quot;Mr. Schafer&quot;)
 serves as the senior managing member of SB LLC and has investment discretion with respect to securities held by the Funds.

Each of the Investment Manager, SB LLC and Mr. Schafer may be deemed to beneficially own 3,644,600 shares of common stock
 which represents approximately 10.3% of the outstanding shares of common stock.

Each of the Investment Manager, SB LLC, and Mr. Schafer disclaims beneficial ownership of the securities included in this
 report and this report shall not be deemed an admission that either the Investment Manager, SB LLC, or Mr. Schafer is the
 beneficial owner of such securities for purposes of Section 16 or for any other purpose.</remarks>

    <ownerSignature>
        <signatureName>/s/ Oscar S. Schafer</signatureName>
        <signatureDate>2005-11-16</signatureDate>
    </ownerSignature>
</ownershipDocument>
