He faces allegations of sexual assault against two women, which he denies.
Mr Assange, 39, argues Swedish prosecutors had no right to issue a warrant for his arrest because he has not yet been charged with any offences.
At the extradition hearing, in London's Belmarsh Magistrates' Court, his lawyers are also challenging the move on human rights grounds.
Mr Assange's legal team, led by Geoffrey Robertson QC, argues that if their client is forced to return to Sweden he could be extradited to the US, or even Guantanamo Bay, to face separate charges relating to the publication of secret documents by Wikileaks."
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