Defender Matteo Darmian scored the only goal of the match as Inter found it tougher than expected against a side fighting for Serie A survival as the Italian league leaders maintained their 11-point advantage over second-placed AC Milan.
The decision marks a change of course for Italian football, for the first time, with most of the championship being broadcast only through streaming.
La Liga champions top the list among Europe's major leagues with $832 million (681.2 million euros), followed by Bayern Munich, Liverpool and Paris St Germain.
Milan launches straight onto the attack from kick-off, with Turkish midfielder Hakan Calhanoglu setting up forward Rafael Leao to slot home the rapid opener.
With the victory over Spezia, Juventus end a run of three consecutive draws to move to third place in Italy's Serie A football league.
The match behind closed doors at Turin's Stadio Olimpico was the first to kick off in Italy's top flight since March 9.
Debate has raged ever since the French league decided to bring a premature end to the season in late April with 10 rounds of matches unplayed.
Training will resume on Monday but no decision has been made on when a new season will start after the current season was halted in March due to the coronavirus pandemic.
The Italian government has given professional teams permission to train together, and Sassuolo are the first Seria A side to say their players could start training at their club from Monday on an optional basis.
No sport has been played in Italy since March 9 as the country grapples with the Covid-19 crisis which has killed over 25,000 people.
Italian champions Juventus, who led second-placed Lazio by a point in Serie A before the suspension of the season, said they had agreed a "reduction" for pay from March until June.
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