時間 + も + ば conditional (in just X)

The pattern [time/quantity + も + ば-conditional verb], expressing 'in just X / as little as X' — 一週間もすれば ('in a week or so'), 一万円もあれば ('with about 10,000 yen'). The も here is the 'as little/much as' marker softening into a casual estimate.