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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2017-03-17</periodOfReport>

    <issuer>
        <issuerCik>0001029125</issuerCik>
        <issuerName>Sun BioPharma, Inc.</issuerName>
        <issuerTradingSymbol>SNBP</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001490476</rptOwnerCik>
            <rptOwnerName>Kellen Scott</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>712 VISTA BLVD #305</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>WACONIA</rptOwnerCity>
            <rptOwnerState>MN</rptOwnerState>
            <rptOwnerZipCode>55387</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isOfficer>1</isOfficer>
            <officerTitle>Chief Financial Officer</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <derivativeTable>
        <derivativeTransaction>
            <securityTitle>
                <value>Employee Stock Option (right to buy)</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>1.51</value>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2017-03-17</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>93000</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <footnoteId id="F1"/>
            </exerciseDate>
            <expirationDate>
                <value>2026-12-12</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>93000</value>
                    <footnoteId id="F2"/>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>159000</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeTransaction>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">On December 12, 2016, the reporting person was granted an option to purchase up to 300,000 shares of common stock.  The option became exercisable with respect to 66,000 shares as of December 12, 2016 and with respect to an additional 93,000 shares as of March 17, 2017.  The remainder is subject to vesting proportionately based on cash proceeds received by, or contractually obligated to be remitted to, the issuer after June 1, 2016 and before December 31, 2018 from any transaction, excluding certain internal operating-related cash flows.</footnote>
        <footnote id="F2">Option vested with respect to 93,000 additional shares pursuant to certification by issuer compensation committee.</footnote>
    </footnotes>

    <ownerSignature>
        <signatureName>/s/ Joshua L. Colburn, Attorney-in-fact for Scott Kellen</signatureName>
        <signatureDate>2017-03-21</signatureDate>
    </ownerSignature>
</ownershipDocument>
